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111111111111111111111111111111111111111111111111111111111111111111111111111 US009506823B2 (12) United States Patent Selvanayagam et al. (10) Patent No.: (45) Date of Patent: US 9,506,823 B2 Nov. 29, 2016 (54) BONDING STRESS TESTING ARRANGEMENT AND METHOD OF DETERMINING STRESS (75) Inventors: Cheryl Sharmani Selvanayagam, Singapore (SG); Xiaowu Zhang, Singapore (SG); Tai Chong Chai, Singapore (SG); Alastair David Trigg, Singapore (SG); Cheng Kuo Cheng, Singapore (SG); Xian Tong Chen, Singapore (SG); Kripesh Vaidyanathan, Singapore (SG) (73) Assignee: Agency for Science, Technology and Research, Singapore (SG) (52) U.S. Cl. CPC GOlL 1/22 (2013.01); HOlL 22/12 (2013.01); HOlL 22/34 (2013.01); HOlL 2924/0002 (2013.01) (58) Field of Classification Search CPC G01L 1/22 USPC 73/767 See application file for complete search history. (56) References Cited U.S. PATENT DOCUMENTS 4,884,051 A * 11/1989 Takahashi GOIL 5/162 257/417 6,486,051 Bl * 11/2002 Sabin et al. 438/612 (Continued) (30) Foreign Application Priority Data (87) PCT Pub. No.: W020111139231 PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch Copper Wire Bonding Produc- tion, Proceedings 11th Electronics Packaging Technology Confer- ence, 1 (2009). Primary Examiner - Lisa Caputo Assistant Examiner - Octavia Hollington (74) Attorney, Agent, or Firm - K. David Crockett, Esq.; Niky Economy Syrengelas, Esq.; Crockett & Crockett, PC (57) ABSTRACT A bonding stress testing arrangement and a method of determining stress are provided. The bonding stress testing arrangement includes at least one bond pad; a sensor assem- bly comprising anyone of a first sensor arrangement, a second sensor arrangement and a combination of the first sensor arrangement and the second sensor arrangement; wherein the first sensor arrangement is adapted to measure an average stress on a portion of a bonding area under the at least one bond pad, and the second sensor arrangement is adapted to determine stress distribution over a portion or an entire of the bonding area under the at least one bond pad. 31 Claims, 11 Drawing Sheets (Continued) OTHER PUBLICATIONS Aug. 8, 2013 (2006.01) (2006.01) Prior Publication Data Subject to any disclaimer, the term of this patent is extended or adjusted under 35 U.S.c. 154(b) by 790 days. US 2013/0199303 Al (21) Appl. No.: 13/696,432 (22) PCT Filed: May 3, 2011 (86) PCTNo.: PCT/SG20111000168 § 371 (c)(1), (2), (4) Date: Apr. 15, 2013 (65) May 7, 2010 (SG) 201003260-5 (51) Int. Cl. GOlL 1/22 HOlL 21/66 ( *) Notice: lOG 200 /220a 204 201 0) 204 102 208 20G 102 200 /220b lOG 201 b) 20. 20G 208

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Page 1: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

111111111111111111111111111111111111111111111111111111111111111111111111111US009506823B2

(12) United States PatentSelvanayagam et al.

(10) Patent No.:(45) Date of Patent:

US 9,506,823 B2Nov. 29, 2016

(54) BONDING STRESS TESTINGARRANGEMENT AND METHOD OFDETERMINING STRESS

(75) Inventors: Cheryl Sharmani Selvanayagam,Singapore (SG); Xiaowu Zhang,Singapore (SG); Tai Chong Chai,Singapore (SG); Alastair David Trigg,Singapore (SG); Cheng Kuo Cheng,Singapore (SG); Xian Tong Chen,Singapore (SG); KripeshVaidyanathan, Singapore (SG)

(73) Assignee: Agency for Science, Technology andResearch, Singapore (SG)

(52) U.S. Cl.CPC GOlL 1/22 (2013.01); HOlL 22/12

(2013.01); HOlL 22/34 (2013.01); HOlL2924/0002 (2013.01)

(58) Field of Classification SearchCPC G01L 1/22USPC 73/767See application file for complete search history.

(56) References Cited

U.S. PATENT DOCUMENTS

4,884,051 A * 11/1989 Takahashi GOIL 5/162257/417

6,486,051 Bl * 11/2002 Sabin et al. 438/612

(Continued)

(30) Foreign Application Priority Data

(87) PCT Pub. No.: W020111139231

PCT Pub. Date: Nov. 10, 2011

Chylak, Developments in Fine Pitch Copper Wire Bonding Produc­tion, Proceedings 11th Electronics Packaging Technology Confer­ence, 1 (2009).

Primary Examiner - Lisa CaputoAssistant Examiner - Octavia Hollington(74) Attorney, Agent, or Firm - K. David Crockett, Esq.;Niky Economy Syrengelas, Esq.; Crockett & Crockett, PC

(57) ABSTRACT

A bonding stress testing arrangement and a method ofdetermining stress are provided. The bonding stress testingarrangement includes at least one bond pad; a sensor assem­bly comprising anyone of a first sensor arrangement, asecond sensor arrangement and a combination of the firstsensor arrangement and the second sensor arrangement;wherein the first sensor arrangement is adapted to measurean average stress on a portion of a bonding area under the atleast one bond pad, and the second sensor arrangement isadapted to determine stress distribution over a portion or anentire of the bonding area under the at least one bond pad.

31 Claims, 11 Drawing Sheets

(Continued)

OTHER PUBLICATIONS

Aug. 8, 2013

(2006.01)(2006.01)

Prior Publication Data

Subject to any disclaimer, the term of thispatent is extended or adjusted under 35U.S.c. 154(b) by 790 days.

US 2013/0199303 Al

(21) Appl. No.: 13/696,432

(22) PCT Filed: May 3, 2011

(86) PCTNo.: PCT/SG20111000168

§ 371 (c)(1),(2), (4) Date: Apr. 15, 2013

(65)

May 7, 2010 (SG) 201003260-5

(51) Int. Cl.GOlL 1/22HOlL 21/66

( *) Notice:

lOG 200/220a

204 201

0)

204

102

208 20G

102 200

/220b

lOG 201

b)20. 20G

208

Page 2: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

US 9,506,823 B2Page 2

Vath, et aI., Factors Affecting the Long Term Stability of CuiAl BallBonds Subjected to Standard and Extended HTS, Proceedings 11thElectronics Packaging Technology Conference, 374 (2009).Fiori, et al., 3D Multi-Scale Modeling of Wire Bonding InducedPeeling in Cu/Low-K Interconnects: Application of an EnergyBased Criteria and Correlations with Experiments, Electronic Com­ponents and Technology Conference, 256 (2007).Mayer, et aI., Measuring Stress Next to Au Ball Bond During HighTemperature Aging, 49 Microelectronics Reliability, 771 (2009).Shah, et aI., Online Methods to Measure Breaking Force of BondingWire using a CMOS Stress Sensor and a Proximity Sensor, 148Sensor and Actuators A: Physical, 462 (2008).Shah, et aI., In situ Ultrasonic Force Signals During Low-Tempera­ture Thermosonic Copper Wire Bonding, 85 Microelectronic Engi­neering, 1851 (2008).

8,803,145 B2 * 8/2014 Patti et al.2008/0246491 Al * 10/2008 Ogawa.

(56) References Cited

u.s. PATENT DOCUMENTS

OTHER PUBLICATIONS

257/48GOIR31/2853

324/519

Shah, et aI., Optimisation of Ultrasound and Bond Force to ReducePad Stress in Thermosonic Cu Ball Bonding, Proceedings 11thElectronics Packaging Technology Conference, (2009).Mayer, et aI., In-situ Measurement of Stress and Temperature underBonding Pads During Wire Bonding Using Integrated Microsen­sors, Proceedings 2nd Int. Conf. Emerging Microelectr. And Inter­com. Tech., 129 (1998).Suhling, et aI., Silicon Piezoresistive Stress Sensors and TheirApplication in Electronic Packaging, 1 IEEE Sensors Journal, 14(2001).Miura, et al., Development and Application of the Stress SensingTest Chip for IC Plastic Packages, Proceedings of the 64th AnnualMeeting of the Jap. Soc. of Mech., 1826 (1987).Doelle, et.al, Piezo-FET Stress-Sensor Arrays for Wire-BondingCharacterization, 15 Journal of Microelectromechanical Systems,120 (2006).Schwizer, et aI., Force Sensors for Microelectronic PackagingApplications, Springer, 37 (2005).Zou, et aI., In-Situ Stress State Measurements During Chip-on­Board Assembly, 22 IEEE Transactions on Electronics Packagingand Manufacturing, 38 (1999).Hizukuri, et aI., Dynamic Strain and Chip Damage during Ultra­sonic Flip Chip Bonding, 40 Japanese Journal of Applied Physics,3044 (2001).

* cited by examiner

Page 3: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

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Page 12: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

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Page 14: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

US 9,506,823 B21

BONDING STRESS TESTINGARRANGEMENT AND METHOD OF

DETERMINING STRESS

TECHNICAL FIELD

Various embodiments relate generally to a bonding stresstesting arrangement and a method of determining stress.

BACKGROUND

2measurement under the pad where failure usually occurs.Further, one assumption made using this method is that allfour resistors have the same resistance which is highlyunlikely given current fabrication methods.

Another conventional method includes placing single linen-type sensor across the center of bond pad and serpentinen-type sensor over the entire bond pad area [5]. However,this method measures bond force and shows that bond forcehas a linear relationship with resistance change. This method

10 does not measure stress under the bond pad.

During touch-down and ultrasonic bonding stages ofwirebonding, high stresses are applied onto a bond pad sothat a good joint between a bonding wire and the bond padmay be achieved. However, these high stresses may cause 15

pad damage, silicon cratering, and aluminium splash wherethe thickness of the aluminum at the center of the pad issqueezed to the sides. These factors may result in poor bondquality.

With the trend towards miniaturisation in the electronics 20

industry, the bonding wire is getting thinner, the bond padspace is getting narrower and the bond pad size is beingshrunk. This means that a larger percentage of the bond padarea is experiencing a large stress. Further, the trend towardscopper low-K (e.g. low dielectric constant) and ultra low-K 25

also poses a challenge as the materials are soft and brittle.Wirebonding has been found to cause cracking and delami­nation in the low-K layers. The above mentioned problemsmay be further worsened with copper wire bonding ratherthan gold wire bonding as copper is harder than gold. 30

Mechanical simulation shows that the stresses on the pad aremuch higher with copper wire than with gold wire.

These failures due to high stresses can be reduced ifbonding parameters such as the free air ball shape, touch­down force and durations as well as ultrasonic energy and 35

duration are optimized with knowledge of the stress stateunder the bond pad. Capillary shape also plays a role indetermining the shape and the strength of the bond and thestress induced on the bond pad. Capillary design can also beoptimized taking into account the stresses induced on the 40

bond pad.Measuring and mapping the stress distribution under the

bond pad and correlating these to the failure mechanisms ofwirebonding will allow easier determination of processparameters and improved capillary designs such that failures 45

such as silicon cratering, aluminium splash and low-Kcracking can be avoided and more robust wirebonds can beformed. Conventional methods to measure the stress distri­bution under the bond pad may involve mechanical simu­lation for extrapolation of stress from the measured regions 50

to the uumeasured regions.One conventional method is to place four n-type piezore­

sistive sensors arranged in a Wheatstone bridge configura­tion at the corners of bond pads [1-4]. All four sensors arealigned along the same crystallographic direction. With this 55

configuration, there is a single output signal which corre­sponds to a stress component O"y The stress component 0xy

is a shear stress. The subscript x of the stress component 0xy

represents the direction normal to the surface upon whichthe stress acts upon. The subscript y of the stress component 60

0xyrepresents the direction of the stress itself. Finite elementmodeling is then used to correlate 0xy to another stresscomponent oz. The stress component 0z is a normal stress.The subscript z of the stress component 0z represents thesurface on which the stress acts. However, this method 65

determines only one component of stress which is the shearstress outside the pads. This method does not take stress

SUMMARY

According to one embodiment, a bonding stress testingarrangement is provided. The bonding stress testing arrange­ment includes at least one bond pad; a sensor assemblycomprising anyone of a first sensor arrangement, a secondsensor arrangement and a combination of the first sensorarrangement and the second sensor arrangement; whereinthe first sensor arrangement is adapted to measure an aver­age stress on a portion of a bonding area under the at leastone bond pad, and the second sensor arrangement is adaptedto determine stress distribution over a portion or an entire ofthe bonding area under the at least one bond pad.

According to another embodiment, a method of determin­ing stress on a portion of a bonding area under at least onebond pad is provided. The method includes anyone ofmeasuring an average stress on a portion of a bonding areaunder the at least one bond pad, and determining stressdistribution over a portion or an entire of the bonding areaunder the at least one bond pad.

BRIEF DESCRIPTION OF THE DRAWINGS

In the drawings, like reference characters generally referto the same parts throughout the different views. The draw­ings are not necessarily to scale, emphasis instead generallybeing placed upon illustrating the principles of the inven­tion. In the following description, various embodiments ofthe invention are described with reference to the followingdrawings, in which:

FIG. 1 shows a schematic diagram of a bonding stresstesting arrangement according to one embodiment.

FIG. 2 shows a schematic diagram of a first sensorarrangement of a bonding stress testing arrangement accord­ing to one embodiment.

FIG. 3a shows a three-dimension schematic diagram ofthe crystal directions according to one embodiment.

FIG. 3b shows a schematic diagram of an arrangement ofsensors of a first sensor arrangement of a bonding stresstesting arrangement according to one embodiment.

FIG. 4 shows a drawing of crystal directions according toone embodiment.

FIG. 5 shows a schematic diagram of a second sensorarrangement of a bonding stress testing arrangement accord­ing to one embodiment.

FIG. 6 shows a schematic diagram of a second sensorarrangement of a bonding stress testing arrangement accord­ing to one embodiment.

FIG. 7 shows a schematic diagram of a second sensorarrangement of a bonding stress testing arrangement accord­ing to one embodiment.

FIG. 8 shows a schematic diagram of a second sensorarrangement of a bonding stress testing arrangement accord­ing to one embodiment.

Page 15: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

US 9,506,823 B23 4

of the stress acting on the surface. The four components ofstress (ox, Oy, 0z' Oxy) may represent a stress distribution.The wirebonding test chip may contain two types of sensors,namely large area sensors (e.g. first sensor arrangement 106)which allow the measurement of average stresses in siliconunder the bond pad 102, and miniaturized sensors (e.g.second sensor arrangement 108) which allow for the map­ping of stress distribution in the area below the bond pad102.

In one embodiment, the bonding stress testing arrange­ment 100 may further include a data processing unit 110adapted to collect data representing values of the respectivecomponents of stress from the first sensor arrangement 106

15 and the second sensor arrangement 108 (e.g. plurality ofsensors of the first sensor arrangement 106 and the secondsensor arrangement 108), and to determine the stress valuesunder the bond pad 102 based on the collected data.

For a densely populated design, routing of the sensors can20 be a challenge. A data processing unit (which may be also

tenned as data acquisition system) 100 may require suffi­cient channels (one for each sensor) to carry out the mea­surements. An integrated circuit design may be used suchthat the required calculations are computed on the chip (e.g.

25 including the first sensor arrangement 106 and/or the secondsensor arrangement 108) with the resulting four componentsof stress (ox, Oy, 0z' Oxy) being transmitted to the dataprocessing unit 100 (e.g. computer). The transmission of theinformation e.g. four components of stress (os' Oy, 0z' Oxy)

30 from the chip to the data processing unit 100 may be wiredor wireless.

FIGS. 2a and 2b show a schematic diagram of arrange­ments 220a, 220b of the first sensor arrangement 106disposed on the bond pad 102. The first sensor arrangement

35 106 includes a plurality of sensors 202 disposed on a portion204 of the bond pad 102. Dotted line 200 indicates thebonding area 201 under the bond pad 102. For illustrationpurposes, only four sensors 202 are shown in FIG. 2. In otherembodiments, the number of sensors 202 may be different.

40 In one embodiment, the plurality of sensors 202 may besilicon-based piezoresistive stress sensors or resistors. Theplurality of sensors 202 includes sensors of a first polarity204 and sensors of a second polarity 206. In one embodi­ment, the number of sensors of the first polarity 204 and the

45 number of sensors of the second polarity 206 may be thesame. In another embodiment, the number of sensors of thefirst polarity 204 and the number of sensors of the secondpolarity 206 may be different. In one embodiment, the firstpolarity is n-type conductivity and the second polarity is

50 p-type conductivity. In another embodiment, the first polar­ity is p-type conductivity and the second polarity is n-typeconductivity.

The plurality of sensors 202 is arranged such that thesensor of the first polarity 204 is placed adjacent to the

55 sensor of the second polarity 206. Each of the plurality ofsensors 202 is oriented or arranged along a different crystaldirection. One sensor 202 is oriented or arranged along acrystal direction of [11 0] as illustrated in FIG. 3a whichshows a three-dimension schematic diagram 300 of the

60 crystal directions. Each crystal direction has a form of [abc].The first entry 'a' of the crystal direction [abc] is a compo­nent of the crystal direction along the x-axis. The secondentry 'b' of the crystal direction [abc] is a component of thecrystal direction along the y-axis. The third entry 'c' of the

65 crystal direction [abc] is a component ofthe crystal directionalong the z-axis. Each sensor 202 is displaced 45° from theadjacent sensor 202.

DETAILED DESCRIPTION

FIG. 9 shows a schematic diagram of a second sensorarrangement of a bonding stress testing arrangement accord­ing to one embodiment.

FIG. 10 shows a flowchart of a method of detenniningstress on a portion of a bonding area under at least one bondpad according to one embodiment.

Embodiments of a bonding stress testing arrangement and 10

a method of determining stress will be described in detailbelow with reference to the accompanying figures. It will beappreciated that the embodiments described below can bemodified in various aspects without changing the essence ofthe invention.

FIG. 1 shows a schematic diagram of a bonding stresstesting arrangement 100. The bonding stress testing arrange­ment 100 includes at least one bond pad 102 and a sensorassembly 104. In one embodiment, the sensor assembly 104may include a first sensor arrangement 106. In anotherembodiment, the sensor assembly 104 may include a secondsensor arrangement 108. In yet another embodiment, thesensor assembly 104 may include a combination of the firstsensor arrangement 106 and the second sensor arrangement108.

For illustration purposes, FIG. 1 shows that the sensorassembly 104 includes a combination of the first sensorarrangement 106 and the second sensor arrangement 108. Inone embodiment, the first sensor arrangement 106 and thesecond sensor arrangement 108 may be disposed on thesame bond pad 102. In another embodiment, the first sensorarrangement 106 and the second sensor arrangement 108may be disposed on different bond pads 102.

The first sensor arrangement 106 and the second sensorarrangement 108 may include a plurality of sensors respec­tively. In one embodiment, the number of sensors of the firstsensor arrangement 106 and the number of sensors of thesecond sensor arrangement 108 may be the same. In anotherembodiment, the number of sensors of the first sensorarrangement 106 and the number of sensors of the secondsensor arrangement 108 may be different. The plurality ofsensors may be silicon-based piezoresistive stress sensors orresistors. The first sensor arrangement 106 is adapted tomeasure an average stress on a portion of a bonding areaunder the at least one bond pad 102. The second sensorarrangement 108 is adapted to detennine stress distributionover a portion or an entire of the bonding area under the atleast one bond pad 102.

In one embodiment, the bonding stress testing arrange­ment 100 may be a wirebonding test chip that uses thevarious piezoresistive stress sensors to detennine the bulkand localised stresses below the bond pad 102. The wire­bonding test chip may measure stress components under thebond pad 102 so that the stresses can be correlated withfailure mechanism of the wirebond. A complete picture ofwhat causes the failure of wirebonds may be provided. Thewirebonding test chip may contain structures to allow thereal-time measurement of four components of stress (ox, Oy,

0z' Oxy)' The stress components 0z' Oy, 0z are normal stress.The subscript x of the stress component Ox represents thesurface on which the stress acts. The subscript y of the stresscomponent Oy represents the surface on which the stress acts.The subscript z of the stress component 0z represents thesurface on which the stress acts. The subscript x of the stresscomponent 0xy represents the surface on which the stressacts. The stress component 0xy is a shear stress. The sub­script y of the stress component 0xy represents the direction

Page 16: United States Patent - Trademarks | Litigation · PCT Pub. Date: Nov. 10, 2011 Chylak, Developments in Fine Pitch CopperWire Bonding Produc tion, Proceedings 11th Electronics Packaging

US 9,506,823 B25 6

15

t:.R

R

t:.R

R

(2)

(3)

(4)

f3(t:.T) = "2.-f3Nt:.TN = f31t:.T + f32t:.T2 + ...N

[(ITII + Jr12 + Jr44) (Jrll + Jr12 + Jr44) ] 2

2 CTll + 2 CT22 m +

Jr12CT33 + 2(Jrll - Jr12)CT121m

= OCT

t:.R [(ITII + Jr12 + Jr44) (Jrll + Jr12 + Jr44) ] 2R = 2 CTll + 2 CT22 1 +

where Jt ll , Jt12, Jt44 are piezoresistive coefficients, all' 012'

022' 033 are stress components, l=cos <jJ, m=sin <jJ, II ispiezoresistive coefficient, and ° is a stress component.

In more detail, the change in the resistance

of each sensor 204a, 204b, 206a, 206b can also be repre­sented by:

wherein N is an index of summation, ~N is an Nth coefficientof each term of the polynomial equation, and !l.T is a changein temperature.

FIG. 4 shows a drawing 400 of crystal directions of thesensors. With reference to FIG. 4, the change in the resis­tance

wherein N is an index of summation, ON is an Nth coefficientof each term of the polynomial equation, and !l.T is a changein temperature.~(!l.T) can be represented by:

The plurality of sensors 202 may be used to detennine thefour components of stress (ox, Oy, 0z' 0xy)' Each sensor 202is adapted to measure a respective component of stresss (ox,

Oy, 0z' Oxy)' The first sensor arrangement 106 is adapted tomeasure an average stress under the portion 208 of the bondpad 102 covered by the plurality of sensors 202 based on therespective components of stress measured by the plurality ofsensors 202. The stress measured is averaged over the entirearea (boxed region) (e.g. portion 208 of the bond pad 102)of the sensors 202. The sensors 202 can be placed at the 10

center and/or sides and/or any other location in the bond pad102 as shown in FIGS. 2a and 2b. An average bulk stress atthe location where the sensors 202 are placed the bond pad102 can be determined.

In one embodiment, the plurality of sensors 202 mayinclude four sensors 202-two sensors of the first polarity204a, 204b and two sensors of the second polarity 206a,206b. In one embodiment, the first polarity is n-type con­ductivity and the second polarity is p-type conductivity. In 20

another embodiment, the first polarity is p-type conductivityand the second polarity is n-type conductivity. FIG. 3bshows a schematic diagram of an arrangement 302 ofsensors 202 of the first sensor arrangement 106. As shownin FIG. 3b and with reference to FIG. 3a, a first sensor of the 25

first polarity 204a is oriented along a crystal direction of[11 0] (e.g. [-11 0]). A first sensor of the second polarity 206ais placed adjacent to the first sensor of the first polarity 204aand is displaced 45° from the first sensor of the first polarity204a. The first sensor ofthe second polarity 206a is oriented 30

along a crystal direction of[0I0]. A second sensor ofthe firstpolarity 204b is placed adjacent to the first sensor of thesecond polarity 206a and is displaced 45° from the firstsensor of the second polarity 206a. The second sensor of thefirst polarity 204b is oriented along a crystal direction of 35

[11 0]. A second sensor of the second polarity 206b is placedadjacent to the second sensor of the first polarity 204b andis displaced 45° from the second sensor of the first polarity204b. The second sensor of the second polarity 206b isoriented along a crystal direction of [100]. Each sensor 40

204a, 204b, 206a, 206b may measure a respective compo­nent of stress (ox, Oy, 0z' Oxy)' In one embodiment, eachsensor 204a, 204b, 206a, 206b may have a respectiveresistance. The resistance of each sensor 204a, 204b, 206a,206b may change due to stresses detected. A change in the 45

resistance

t:.R

R 50 of the first sensor of the first polarity 204a can be repre­sented by:

of each sensor 204a, 204b, 206a, 206b can be representedby:

55

(5)

t:.R

R

wherein JtllG, Jt12G, Jt44n are piezoresistive coefficients, ox,

Oy, 0z' are normal stress components, and n indicates thatJtll G, Jt12n, Jt44

n are piezoresistive coefficients for a sensor of60 n-type conductivity.

The change in the resistance

(1)R(CT, t:.T) - R(O, 0)

R(O,O)

= j(t:.T) + [0 + f3(t:.T)]CT

t:.R

R

wherein R(o,!l.T) is a resistance of the sensor measuredwhen stress is detected and there is a change in temperature,R(O,O) is an initial resistance of the sensor when there is nostress, f(!l.T) is a temperature coefficient of resistance, ~(!l.T)is a temperature coefficient of piezoresistance, II is piezore- 65

sistive coefficient, and ° is the stress component. f(!l.T) canbe represented by:

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US 9,506,823 B2

t:.R

R

t:.R

R

845° and sin 45° are equal to ,,(2/2, and cos 0° is equal to I.Thus, the four orientations [TIO], [010], [110] and [100] areused. Nevertheless, in other embodiments, it is possible touse other orientations of the first sensor of the first polarity204a, the first sensor of the second polarity 206a, the secondsensor of the first polarity 204b, the second sensor of thesecond polarity 206b for measuring the four components ofstress (ax, Oy, 0z' Oxy).

FIG. S shows a schematic diagram of a second sensor10 arrangement SOO according to an embodiment. The second

sensor arrangement SOO may correspond to the secondsensor arrangement 108 described above. The second sensorarrangement SOO includes a plurality of sensors S02a, S02b,S02c, S02d (e.g. the first sensor S02a, the second sensor

15 S02b, the third sensor S02c and the fourth sensor S02d). Forillustration purpose, only four sensors are shown in FIG. S.In other embodiments, the number of sensors may bedifferent. The plurality of sensors S02a, S02b, S02c, S02dincludes sensors of a first polarity S02a, S02b and sensors of

20 a second polarity S02c, S02d. Instead of placing the firstsensor S02a, the second sensor S02b, the third sensor S02c,and the fourth sensor S02d on a same bond pad, the firstsensor S02a, the second sensor S02b, the third sensor S02c,and the fourth sensor S02d are separated onto different bond

25 pads S04a, S04b, S04c, S04d respectively. The first sensorS02a, the second sensor S02b, the third sensor S02c, and thefourth sensor S02d are disposed on a first bond pad S04a, asecond bond pad S04b, a third bond pad S04c, and a fourthbond pad S04d respectively. Such an arrangement can help

30 to save space taken up by the first sensor S02a, the secondsensor S02b, the third sensor S02c, the fourth sensor S02d onthe respective first bond pad S04a, second bond pad S04b,third bond pad S04c, and fourth bond pad S04d.

The first sensor S02a, the second sensor S02b, the third35 sensor S02c, and the fourth sensor S02d are oriented along

a different crystal direction. The first sensor S02a is orientedalong a crystal direction of [TIO]. The second sensor S02b isoriented along a crystal direction of [110]. The third sensorS02c is oriented along a crystal direction of [01 0]. The fourth

40 sensor SOU is oriented along a crystal direction of [100]. Ascan be seen from FIG. S, the orthogonal sensors are of thesame polarity. The first sensor S02a and the second sensorS02b are orthogonal, and the third sensor S02c and the fourthsensor S02d are orthogonal. In one embodiment, the first

45 sensor S02a and the second sensor S02b may be of the firstpolarity, and the third sensor S02c and the fourth sensorS02d may be of the second polarity. In one embodiment, thefirst polarity is n-type conductivity, and the second polarityis p-type conductivity. In another embodiment, the first

50 polarity is p-type conductivity, and the second polarity isn-type conductivity.

The first sensor S02a, the second sensor S02b, the thirdsensor S02c, and the fourth sensor S02d are disposed on thesame location of the respective first bond pad S04a, second

55 bond pad S04b, third bond pad S04c, and fourth bond padS04d. For illustration purposes, FIG. S shows that thesensors S02a, S02b, S02c, S02d are disposed in the centre ofthe respective first bond pad S04a, second bond pad S04b,third bond pad S04c, and fourth bond pad S04d. In other

60 embodiments, the sensors S02a, S02b, S02c, S02d may bedisposed at the sides and/or any other location of therespective bond pad S04. Dotted line S06 indicates thebonding area S07 under the bond pad S04.

The first sensor S02a, the second sensor S02b, the third65 sensor S02c, and the fourth sensor S02d are adapted to

measure a respective component of stress (ox, Oy, 0z' oxy).The respective component of stress (ox, Oy, 0z' Oxy) may be

(8)

(6)

(7)

of the second sensor of the first polarity 204b can berepresented by:

wherein Jt I /, JtIl are piezoresistive coefficients, ox, Oy, 0z

are nonnal stress components, 'txy is a shear stress compo­nent, and p indicates that Jt I /, JtIl are piezoresistive coef­ficients for a sensor of p-type conductivity.The change in the resistance

of the second sensor of the second polarity 206b can berepresented by:

wherein Jtun

, Jt l2n

, Jt44n are piezoresistive coefficients, ox,

Oy, 0z are normal stress components, and n indicates that Jtu ,

Jt l2n, Jt44n are piezoresistive coefficients for a sensor of

n-type conductivity.The change in the resistance

wherein Jt I /, JtIl are piezoresistive coefficients, ox, Oy, 0z

are nonnal stress components, 'txy is a shear stress compo­nent, and p indicates that Jt I /, JtIl are piezoresistive coef­ficients for a sensor of p-type conductivity.A stress distribution beneath the bond pad 102 may beobtained from the four components of stress (ox, Oy, 0z' Oxy)which can be detennined based on the above equations (5)to (8).

In one embodiment, four stress sensors 202 arranged in aspecific configuration are needed to determine the four stresscomponents (ox, Oy, 0z' oxy) by using the above equations(5) to (8). In short, the four stress components (ox, Oy, 0z'

Oxy) can be determined by using the above-mentioned foursensors 204a, 204b, 206a, 206b together. One embodimentof the configuration of the four sensors 204a, 204b, 206a,206b is arranging the first sensor of the first polarity 204a,the first sensor of the second polarity 206a, the secondsensor ofthe first polarity 204b, and the second sensor of thesecond polarity 206b along the respective crystal directionsof[TIO], [010], [110] and [100]. This configuration is chosenbased on theory expressed by the above equation (4). Intheory, I and m are respectively the direction cosine and sinefor the orientation of the ith sensor (i=l, 2, 3, 4). Both cos

7of the first sensor of the second polarity 206a can berepresented by:

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US 9,506,823 B29 10

three other orientations [Im], [010], [110] are required. FIG.7 shows a schematic diagram of twenty locations 702 underthe bond pad 606 for a complete mapping 700 of the stressdistribution. To obtain the complete mapping 700 of thestress distribution, the second sensor arrangement 600 mayrequire four different bond pad structures 606 (one for eachof the four orientations) and four wirebonds (one on eachbond pad 606).

Therefore, the second sensor arrangement 600 mayinclude a second array 602 of sensors 604, a third array 602of sensors 604 and a fourth array 602 of sensors 604disposed on different bond pads 606 (not shown). Thesecond array 602 of sensors 604, the third array 602 ofsensors 604 and the fourth array 602 of sensors 604 aredisposed on the respective bond pads 606. The sensors 604ofthe second array 602 may have the same first polarity (e.g.n-type conductivity) and may be oriented along a samecrystal direction of [Im]. The sensors 604 of the third array602 may have the same second polarity (e.g. p-type con­ductivity) and may be oriented along a same crystal direc­tion of [010]. The sensors 604 of the fourth array 602 mayhave the same first polarity (e.g. n-type conductivity) andmay be oriented along a same crystal direction of [110].

Each array 602 of sensors 604 has a same number of25 sensors 604. Depending on the entire area 610 of the bond

pad 606 or on the bonding area 609 under the bond pad 606,the number of sensors 604 of each array 602 may vary. Asan example, each array 602 has twenty sensors 604 todetermine the stress distribution over the bonding area 609under the bond pad 606 as shown in FIG. 6a, and each array602 has forty nine sensors 604 to determine the stressdistribution under the entire bond pad area 610 as shown inFIG.6b.

Each array 602 of sensors 604 is adapted to measure arespective component of stress (ox, Oy, 0z' 0xy)' The secondsensor arrangement 600 is adapted to determine stressdistribution under the area of the bond pad 606 covered bythe plurality of arrays 602 of sensors 604 based on therespective components of stress measured by the plurality ofarrays 602 of sensors 604.

FIG. 8 shows a schematic diagram of a second sensorarrangement 800. The second sensor arrangement 800 maycorrespond to the second sensor arrangement 108 describedabove. The second sensor arrangement 800 includes a plu­rality of groups 802 of sensors 804. For illustration pur­poses, only one group 802 of sensors 804 is shown in FIG.8. Each group 802 of sensors 804 is oriented along adifferent crystal direction. The sensors 804 of each group802 have the same polarity and are oriented along a same

50 crystal direction. The plurality of groups 802 of sensors 804comprises groups 802 of sensors 804 of a first polarity andgroups 802 of sensors 804 of a second polarity. In oneembodiment, the first polarity is n-type conductivity and thesecond polarity is p-type conductivity. In another embodi­ment, the first polarity is p-type conductivity and the secondpolarity is n-type conductivity.

Each group 802 of sensors 804 includes a plurality ofseries 806 of sensors 804. Each group 802 of sensors 804 hasthe same number of series 806 of sensors 804. Each series

60 806 of sensors 804 has the same number of sensors 804.Each series 806 of sensors 804 is disposed on a respectivefirst bond pad 808a, second bond pad 808b, third bond pad808c, fourth bond pad 808d, and fifth bond pad 808e. Eachseries 806 of sensors 804 is disposed on a different portionofthe respective first bond pad 808a, second bond pad 808b,third bond pad 808c, fourth bond pad 808d, and fifth bondpad 808e. Each series 806 of sensors 804 may be arranged

measured by the first sensor S02a, the second sensor S02b,the third sensor S02c, and the fourth sensor S02d during orafter wirebonding. It is assumed that the wirebonding car­ried out at the first bond pad S04a, the second bond padS04b, the third bond pad S04c, and the fourth bond pad S04d 5

is identical. The second sensor arrangement 500 may deter­mine stress under the locations of the plurality of sensorsS02a, S02b, S02c, S02d on the respective first bond padS04a, second bond pad S04b, third bond pad S04c, andfourth bond pad S04d based on the respective components of 10

stress measured by the plurality of sensors S02a, S02b, S02c,S02d. The four components of stress (ox, Oy, 0z' Oxy) at alocalized region (e.g. the same location of the first sensorS02a, second sensor S02b, third sensor S02c, fourth sensorS02d on the respective first bond pad S04a, second bond pad 15

S04b, third bond pad S04c, and fourth bond pad S04d) canbe determined. In one embodiment, by increasing the num­ber of first sensors S02a, second sensors S02b, third sensorsS02c, and fourth sensors S02d on the respective first bondpad S04a, second bond pad S04b, third bond pad S04c, and 20

fourth bond pad S04d, the second sensor arrangement 500may provide mapping of the stress distribution under thebond pads S04a, S04b, S04c, S04d during wirebonding. Thesecond sensor arrangement 500 may provide a high spatialresolution of the stress distribution mapping.

FIGS. 6a and 6b show schematic diagrams of a secondsensor arrangement 600. The second sensor arrangement600 may correspond to the second sensor arrangement 108described above. The second sensor arrangement 600includes a plurality of arrays 602 of sensors 604. For 30

illustration purposes, only one array 602 of sensors 604 isshown in FIG. 6. Each array 602 of sensors 604 is disposedon a respective bond pad 606 such that each array 602 ofsensors 604 covers a portion of or an entire area of therespective bond pad 606. Dotted line 608 indicates the 35

bonding area 609 under the bond pad 606. In one embodi­ment, as shown in FIG. 6a, each array 602 of sensors 604covers the entire bonding area 609 under the respective bondpad 606. In other words, each array 602 of sensors 604covers the area indicated by the dotted line 608 on the 40

respective bond pad 606. In another embodiment, as shownin FIG. 6b, each array 602 of sensors 604 covers the entirearea 610 of the respective bond pad 606. The entire area 610of the respective bond pad 606 includes the entire bondingarea 609 (e.g. the area indicated by the dotted line 608) and 45

the area outside the entire bonding area 609. Arranging eacharray 602 of sensors 604 to cover the entire area 610 of therespective bond pad 606 can tolerate positioning inaccura­cies during wirebonding, e.g. can decrease the need forbonding accuracy.

The plurality of arrays 602 of sensors 604 includes arrays602 of sensors 604 of a first polarity and arrays 602 ofsensors 604 of a second polarity. In one embodiment, thefirst polarity is n-type conductivity, and the second polarityis p-type conductivity. In another embodiment, the first 55

polarity is p-type conductivity, and the second polarity isn-type conductivity. Each array 602 of sensors 604 isoriented along a different crystal direction. The sensors 604of each array 602 have the same polarity and are orientedalong a same crystal direction.

The sensors 604 of the array 602 shown in FIG. 6 have thesame second polarity (e.g. p-type conductivity) and areoriented along a same crystal direction of [100]. The illus­trated array 602 of sensors 604 may be termed as the firstarray 602 of sensors 604 of the second sensor arrangement 65

600. In order to obtain the measurements required, threeother bond pads 606 with sensors 604 oriented along the

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US 9,506,823 B211

in a row or in a column on the respective first bond pad 808a,second bond pad 808b, third bond pad 808e, fourth bond pad808d, and fifth bond pad 808e. Dotted line 810 on each ofthe first bond pad 808a, second bond pad 808b, third bondpad 808e, fourth bond pad 808d, and fifth bond pad 808e 5

indicates the bonding area 812 under the first bond pad 808a,the second bond pad 808b, the third bond pad 808e, thefourth bond pad 808d, and the fifth bond pad 808e.

The group 802 of sensors 804 shown in FIG. 8 is orientedalong a crystal direction of [100]. The sensors 804 of the 10

group 802 have the same second polarity (e.g. p-typeconductivity). The group 802 of sensors 804 shown in FIG.8 includes five series 806a, 806b, 806c, 806d, 806e ofsensors 804. Each of the first series 806a of sensors 804, thesecond series 806b of sensors 804, the third series 806e of 15

sensors 804, the fourth series 806d of sensors 804, and thefifth series 806e of sensors 804 has five sensors 804. In otherembodiments, the number of series 806 of sensors 804 andthe number of sensors 804 for each series 806 may bedifferent. Each of the first series 806a of sensors 804, the 20

second series 806b of sensors 804, the third series 806e ofsensors 804, the fourth series 806d of sensors 804, and thefifth series 806e of sensors 804 is disposed on a differentportion of the respective first bond pad 808a, second bondpad 808b, third bond pad 808e, fourth bond pad 808d, and 25

fifth bond pad 808e. A first series 806a of sensors 804 isdisposed near a left edge 814 of the first bond pad 808a. Asecond series 806b of sensors 804 is disposed in the middleof the left half 816 of the second bond pad 808b. A thirdseries 806e of sensors 804 is disposed in the centre of the 30

third bond pad 808e. A fourth series 806d of sensors 804 isdisposed in the middle of the right half 818 of the fourthbond pad 808d. A fifth series 806e of sensors 804 is disposednear a right edge 820 of the fifth bond pad 808e. In otherwords, the position of each of the first series 806a of sensors 35

804, the second series 806b of sensors 804, the third series806e of sensors 804, the fourth series 806d of sensors 804,and the fifth series 806e of sensors 804 is offset from oneanother on the respective first bond pad 808a, second bondpad 808b, third bond pad 808e, fourth bond pad 808d, and 40

fifth bond pad 808e.To obtain the respective components of stress (ox, Oy, 0z'

0xy), the second sensor arrangement 800 may require threeother groups 802 of sensors 804 oriented along three otherorientations [TIO], [010], [110]. The second sensor arrange- 45

ment 800 may further include a group 802 of sensors 804oriented along a crystal direction of [TIO], a group 802 ofsensors 804 oriented along a crystal direction of [010], anda group 802 of sensors 804 oriented along a crystal directionof [110] (not shown). In one embodiment, the group 802 of 50

sensors 804 oriented along the crystal direction of [110] andthe group 802 of sensors 804 oriented along the crystaldirection of [110] may be of the first polarity (e.g. n-typeconductivity). The group 802 of sensors 804 oriented alongthe crystal direction of [010] may be of the second polarity 55

(e.g. p-type conductivity). Each of these groups 802 ofsensors 804 has the same number of series 806 of sensors804 (e.g. five series 806 of sensors 804). Each series 806 ofsensors 804 of each group 802 has the same number ofsensors 804 (e.g. five sensors 804). Since each series 806 of 60

sensors 804 of each group 802 is disposed on a respectivebond pad 808, the second sensor arrangement 800 mayinclude fifteen more bond pads 808.

In one embodiment, considering that the second sensorarrangement 800 has four groups 802 of sensors 804 and 65

each group 802 of sensors 804 has five series 806 of sensors804, the second sensor arrangement 800 may require twenty

12bond pad structures 808 (5 positionsx4 orientations) andtwenty wirebonds (one on each pad 808) for a completemapping of the bond pad area e.g. as shown in FIG. 7.

The corresponding first series 806a of sensors 804, sec­ond series 806b of sensors 804, third series 806e of sensors804, fourth series 806d of sensors 804, and fifth series 806eof sensors 804 of each group 802 is disposed on the sameportion of the respective first bond pad 808a, second bondpad 808b, third bond pad 808e, fourth bond pad 808d, andfifth bond pad 808e. That is, the first series 806a of sensors804 of each group 802 is disposed near a left edge 814 oftherespective first bond pad 808a. The second series 806b ofsensors 804 of each group 802 is disposed in the middle ofthe left half816 ofthe respective second bond pad 808b. Thethird series 806e of sensors 804 of each group 802 isdisposed in the centre of the respective third bond pad 808e.The fourth series 806d of sensors 804 of each group 802 isdisposed in the middle of the right half 818 of the respectivefourth bond pad 808d. The fifth series 806e of sensors 804of each group 802 is disposed near a right edge 820 of therespective fifth bond pad 808e. The corresponding firstseries 806a of sensors 804, second series 806b of sensors804, third series 806e of sensors 804, fourth series 806d ofsensors 804, and fifth series 806e of sensors 804 of eachgroup 802 can measure a respective component of stress (ox,Oy, 0z' oxy) under the same portion of the bonding area 812under the respective first bond pad 808a, second bond pad808b, third bond pad 808e, fourth bond pad 808d, and fifthbond pad 808e. As such, the stress components (ox, ox, 0z'

oxy) under a portion ofthe bonding area 812 of the first bondpad 808a, the second bond pad 808b, the third bond pad808e, the fourth bond pad 808d, and the fifth bond pad 808ecovered by the corresponding first series 806a of sensors804, second series 806b of sensors 804, third series 806e ofsensors 804, fourth series 806d of sensors 804, and fifthseries 806e of each group 802 can be determined. A stressdistribution under a portion of the bonding area 812 of thefirst bond pad 808a, the second bond pad 808b, the thirdbond pad 808e, the fourth bond pad 808d, and the fifth bondpad 808e can be determined.

Each group 802 of sensors 804 is adapted to measure arespective component of stress (ox, Oy, 0z' Oxy)' Each group802 of sensors 804 may determine a respective componentof stress (ox, Oy, 0z' Oxy) under the area of one bond pad 808based on the respective component of stress (ox, Oy, 0z' Oxy)measured by each of the first series 806a of sensors 804, thesecond series 806b of sensors 804, the third series 806e ofsensors 804, the fourth series 806d of sensors 804, and thefifth series 806e of sensors 804 of the group 802 under arespective portion of the area of the first bond pad 808a, thesecond bond pad 808b, the third bond pad 808e, the fourthbond pad 808d, and the fifth bond pad 808e. The secondsensor arrangement 800 is adapted to determine stressdistribution under the area of the bond pad 808 covered bythe plurality of groups 802 of sensors 804 based on therespective components of stress measured by the plurality ofgroups 802 of sensors 804.

FIG. 9 shows a schematic diagram of a second sensorarrangement 900. The second sensor arrangement 900 maycorrespond to the second sensor arrangement 108 describedabove. The second sensor arrangement 900 includes a plu­rality of series 902 of sensors 904 and a plurality of bondpads 906. For illustration purposes, only one series 902 ofsensors 904 and one bond pad 906 is shown. Each series 902of sensors 904 is disposed in the centre of a correspondingbond pad 906 of the plurality of bond pads 906.

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13US 9,506,823 B2

14The plurality of series 902 of sensors 904 comprises series

902 of sensors 904 of a first polarity and series 902 ofsensors 904 of a second polarity. In one embodiment, thefirst polarity is n-type conductivity and the second polarityis p-type conductivity. In another embodiment, the first 5

polarity is p-type conductivity and the second polarity isn-type conductivity. Each series 902 of sensors 904 isoriented along a different crystal direction. The sensors 904of each series 902 have the same polarity and are orientedalong a same crystal direction. Each series 902 of sensors 10

904 has the same number of sensors 904.Each bond pad 906 includes a group 908 of bond seg­

ments 910a, 910b, 910c. For illustration purposes, only threebond segments 910a, 910b, 910c (the first bond segment 15

910a, the second bond segment 910b, the third bond seg­ment 910c) are shown in FIG. 9. Each group 908 of bondsegments 910a, 910b, 910c is disposed on a correspondingbond pad 906. The bond segments 910a, 910b, 910c of eachgroup 908 respectively have a bonding area 912 disposed at 20

a different region of the corresponding bond pad 906. Thebonding area 912 is indicated by dotted line 913. Each group908 of bond segments 910a, 910b, 910c has the samenumber of bond segments 910a, 910b, 910c. Each bond pad906 has a larger size than each bond segment 910a, 910b, 25

910c.The sensors 904 of the series 902 have the same second

polarity (e.g. p-type conductivity) and are oriented along asame crystal direction of [100]. The series 902 of sensors904 has five sensors 904. In other embodiments, the series 30

902 of sensors 904 may have different number of sensors904. The series 902 of sensors 904 is disposed in the centreof the bond pad 906. The group 908 ofbond segments 910a,910b, 910c is disposed on the bond pad 906. The group 908of bond segments 910a, 910b, 910c as shown in FIG. 9 has 35

three bond segments 910a, 910b, 910c. In other embodi­ments, the group 908 of bond segments 910 may havedifferent number of bond segments 910. The first bondsegment 910a, the second bond segment 910b, and the thirdbond segment 910c respectively have a bonding area 912 40

disposed at a different region of the bond pad 906 as shownin FIG. 9. The first bond segment 910a is disposed on bondpad 906 such that a left edge 914 of the first bond segment910a is aligned with a left edge 916 ofthe bond pad 906. Theseries 902 of sensors 904 is thus disposed on the right end 45

of the first bond segment 910a. The second bond segment910b is disposed in the centre of the bond pad 906. Theseries 902 of sensors 904 is thus disposed in the centre of thesecond bond segment 910b. The third bond segment 910c isdisposed on the bond pad 906 such that a right edge 918 of 50

the third bond segment 910c is aligned with a right edge 920of the bond pad 906. The series 902 of sensors 904 is thusdisposed on the left end of the third bond segment 91 Oc. Inother words, the bond pad 906 is enlarged and the positionsof the respective bonding areas 912 are offset from one 55

another such that the sensors 904 are positioned on differentlocations of the respective bonding areas 912.

To obtain the respective components of stress (ox, Oy, 0z,

0xy), the second sensor arrangement 900 may require threeother bond pads 906 each having a series 902 of sensors 904 60

oriented along different crystal direction (e.g. [Im], [010],[110]) and a group 908 ofbond segments 910. That is, fourdifferent bond pad structures 906 (4 orientations) and twentywirebonds (one wirebond for each of five positions on eachpad 906 assuming that there are five bond segments 910 for 65

each group 908) may be provided for a complete mapping ofthe bond pad area e.g. as shown in FIG. 7.

Therefore, the second sensor arrangement 900 mayinclude a series of 902 of sensors 904 oriented along acrystal direction of [Im], a series of 902 of sensors 904oriented along a crystal direction of [010], and a series of902 of sensors 904 oriented along a crystal direction of[110]. In one embodiment, the series of 902 of sensors 904oriented along the crystal direction of [Im] and the series of902 of sensors 904 oriented along the crystal direction of[110] may be of the first polarity (e.g. n-type conductivity).The series of 902 of sensors 904 oriented along the crystaldirection of [010] may be of the second polarity (e.g. p-typeconductivity). Each series 902 of sensors 904 has the samenumber of sensors 904. Each series 902 of sensors 904 isdisposed in the centre of a corresponding bond pad 906. Thesecond sensor arrangement 900 may include three othergroups 908 ofbond segments 910 disposed on different bondpads. The corresponding bond segment 910 of each group908 is disposed on the same region of the respective bondpad 906.

Each series 902 of sensors 904 is adapted to measure arespective component of stress (ox, Oy, 0z' 0xy)' The secondsensor arrangement 900 is adapted to determine stressdistribution under the area of the bond pad 906 covered bythe plurality of series 902 of sensors 904 based on therespective components of stress measured by the plurality ofseries 902 of sensors 904.

In one embodiment, the plurality of bond pads mayinclude different groups of bond pads. Each group of bondpads may have a bonding area disposed at a different regionof the bond pads. Each group of bond pads may have thesame number ofbond pads. The plurality of series of sensorsmay have series of sensors of a first polarity and series ofsensors of a second polarity. The plurality of series 902 ofsensors 904 of the second sensor arrangement 900 mayinclude different groups of series 902 of sensors 904. Eachgroup of series 902 of sensors 904 may be oriented along adifferent crystal direction. The sensors 904 of each groupmay have the same polarity and may be oriented along asame crystal direction. Each group of sensors 904 may havethe same number of series 902 of sensors 904, and eachseries 902 of sensors 904 may have the same number ofsensors 904. Each group of sensors 904 may be adapted tomeasure a respective component of stress. The secondsensor arrangement 900 may be adapted to determine stressdistribution under the area of the bond pad 906 covered bythe plurality ofgroups of sensors 904 based on the respectivecomponents of stress measured by the plurality of groups ofsensors 904.

The bonding stress testing arrangement according tovarious embodiments can provide a wirebonding test chipwith structures to measure the average stress and to map thestress distribution under the bond pad. Using these struc­tures, the average stress at the center and the sides of thebond pad can be determined. One main advantage ofthis testchip is that the stresses measured by it carmot be measuredusing any other conventional methods. The bonding stresstesting arrangement according to various embodiments car­ries out four calibration experiments to determine sixpiezoresistive coefficients, and requires temperature calibra­tion. The bonding stress testing arrangement according tovarious embodiments uses p-type sensors which are knownto have lower sensitivity and larger variation together withn-type sensors.

Bonding accuracy and uniformity is important for accu­rate stress measurement. Slight misalignments of I to 2microns due to wirebonding misalignment would not affectaccuracy of stress measurement greatly. It may result in the

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15US 9,506,823 B2

16measurement value obtained encompassing a larger circulararea than the ones e.g. shown in FIG. 7 and/or overlappingadjacent circles. Using the bonding stress testing arrange­ment according to various embodiments, the minimumwidth of sensors which can be fabricated is 0.3 to 0.4microns. As a result, using an aspect ratio of 10: 1, the lengthof the sensors ranges between 3 to 4 microns. Hence, thestresses are measured over a 3 to 4 micron square. Withadvances in implantation technology, the sensors may befurther miniaturized.

FIG. 10 shows a flowchart 1000 of a method of deter­mining stress on a portion of a bonding area under at leastone bond pad. At 1002, an average stress on a portion of abonding area under the at least one bond pad is measured. At1004, stress distribution over a portion or an entire of thebonding area under the at least one bond pad is detennined.In one embodiment, an average stress on a portion of abonding area under the at least one bond pad can bemeasured without determining stress distribution over aportion or an entire ofthe bonding area under the at least onebond pad. In another embodiment, stress distribution over aportion or an entire ofthe bonding area under the at least onebond pad can be determined without measuring an averagestress on a portion of a bonding area under the at least onebond pad.

In one embodiment, measuring an average stress on aportion of a bonding area under the at least one bond padmay include evaluating measurements of a plurality ofsensors disposed on a portion of the bond pad. The pluralityof sensors may include sensors of a first polarity and sensorsof a second polarity. Measuring an average stress on aportion of a bonding area under the at least one bond padmay further include evaluating the measurements of theplurality of sensors arranged such that the sensor of a firstpolarity is placed adjacent to the sensor of a second polarity.Measuring an average stress on a portion of a bonding areaunder the at least one bond pad may further include evalu­ating the measurement of each of the plurality of sensorsarranged along a different crystal direction. Measuring anaverage stress on a portion of a bonding area under the atleast one bond pad may further include evaluating themeasurement of one sensor arranged along a crystal direc­tion of [11 0]. Measuring an average stress on a portion of abonding area under the at least one bond pad may furtherinclude evaluating the measurement of each sensor dis­placed 45° from the adjacent sensor. Each sensor maymeasure a respective component of stress. Measuring anaverage stress on a portion of a bonding area under the atleast one bond pad may further include measuring anaverage stress under the portion of the bond pad covered bythe plurality of sensors based on the respective componentsof stress measured by the plurality of sensors.

In one embodiment, detennining stress distribution over aportion or an entire ofthe bonding area under the at least onebond pad may include evaluating measurement of each of aplurality of sensors disposed on a respective bond pad andarranged along a different crystal direction. The plurality ofsensors may include sensors of a first polarity and sensors ofa second polarity. Detennining stress distribution over aportion or an entire ofthe bonding area under the at least onebond pad may further include evaluating the measurement ofeach sensor disposed on the same location of the respectivebond pad. Each sensor may measure a respective componentof stress. Determining stress distribution over a portion or anentire of the bonding area under the at least one bond padmay further include detennining stress under the location of

the plurality of sensors on the respective bond pads based onthe respective components of stress measured by the plu­rality of sensors.

In one embodiment, detennining stress distribution over aportion or an entire of the bonding area under the at least onebond pad may include evaluating measurements of each ofa plurality ofarrays of sensors disposed on a respective bondpad such that each array of sensors covers a portion of or anentire area of the respective bond pad. Each array of sensors

10 may cover the entire bonding area under the respective bondpad. The plurality of arrays of sensors may include arrays ofsensors of a first polarity and arrays of sensors of a secondpolarity. Determining stress distribution over a portion or anentire of the bonding area under the at least one bond pad

15 may further include evaluating the measurements of eacharray of sensors arranged along a different crystal direction.The sensors of each array may have the same polarity andare arranged along a same crystal direction. Each array ofsensors may include a same number of sensors. Each array

20 of sensors may measure a respective component of stress.Detennining stress distribution over a portion or an entire ofthe bonding area under the at least one bond pad may furtherinclude detennining stress distribution under the area of thebond pad covered by the plurality of arrays of sensors based

25 on the respective components of stress measured by theplurality of arrays of sensors.

In one embodiment, detennining stress distribution over aportion or an entire of the bonding area under the at least onebond pad may include evaluating measurements of each of

30 a plurality of groups of sensors arranged along a differentcrystal direction. Each group of sensors may include aplurality of series of sensors. Detennining stress distributionover a portion or an entire of the bonding area under the atleast one bond pad may further include evaluating the

35 measurements of each series of sensors disposed on adifferent portion of a respective bond pad. Detenniningstress distribution over a portion or an entire of the bondingarea under the at least one bond pad may further includeevaluating the measurements of the corresponding series of

40 sensors of each group disposed on the same portion of therespective bond pad. The plurality of groups of sensors mayinclude groups of sensors of a first polarity and groups ofsensors of a second polarity. Determining stress distributionover a portion or an entire of the bonding area under the at

45 least one bond pad may further include evaluating themeasurements of each group of sensors arranged along adifferent crystal direction. The sensors of each group mayhave the same polarity and may be arranged along a samecrystal direction. Each group of sensors may have the same

50 number of series of sensors, and each series of sensors mayhave the same number of sensors. Each group of sensorsmay measure a respective component of stress. Detenniningstress distribution over a portion or an entire of the bondingarea under the at least one bond pad may further include

55 determining stress distribution under the area of the bondpad covered by the plurality of groups of sensors based onthe respective components of stress measured by the plu­rality of groups of sensors.

In one embodiment, detennining stress distribution over a60 portion or an entire of the bonding area under the at least one

bond pad may include evaluating measurements of each ofa plurality of series of sensors disposed in the centre of acorresponding bond pad of a plurality of bond pads. Eachbond pad may include a group of bond segments. Each

65 group of bond segments may have a bonding area disposedat a different region of the corresponding bond pad. Eachgroup ofbond segments may have the same number ofbond

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US 9,506,823 B217 18

The invention claimed is:1. A bonding stress testing arrangement, comprising:at least one bond pad;a sensor assembly comprising anyone of a first sensor

arrangement and a combination of the first sensorarrangement and a second sensor arrangement;

wherein the first sensor arrangement is adapted to mea-sure an average stress on a portion of a bonding areaunder the at least one bond pad, and the second sensorarrangement is adapted to determine stress distributionover a portion or an entire of the bonding area under theat least one bond pad;

wherein the first sensor arrangement comprises a pluralityof sensors disposed on a portion of the bond pad;

wherein the plurality of sensors ofthe first sensor arrange­ment comprises sensors ofa first polarity and sensors ofa second polarity disposed on the portion of the bondpad and are arranged such that a sensor of the firstpolarity is placed adjacent to a sensor of the secondpolarity and the sensor of the second polarity is placedadjacent to a further sensor of the first polarity;

wherein the first polarity comprises n-type conductivityand the second polarity comprises p-type conductivity,or the first polarity comprises p-type conductivity andthe second polarity comprises n-type conductivity.

2. The bonding stress testing arrangement of claim 1,wherein the sensor assembly comprises a combination ofthefirst sensor arrangement and the second sensor arrangement,wherein the first sensor arrangement and the second sensorarrangement are disposed on the same bond pad or ondifferent bond pads.

3. The bonding stress testing arrangement of claim 1,wherein each of the plurality of sensors is oriented along adifferent crystal direction.

4. The bonding stress testing arrangement of claim 1,wherein each sensor is displaced 45° from the adjacentsensor.

5. The bonding stress testing arrangement of claim 1,wherein each sensor is adapted to measure a respectivecomponent of stress.

6. The bonding stress testing arrangement of claim 5,wherein the first sensor arrangement is adapted to measure

45 an average stress under the portion of the bond pad coveredby the plurality of sensors based on the respective compo­nents of stress measured by the plurality of sensors.

7. The bonding stress testing arrangement of claim 1,wherein the second sensor arrangement comprises a plural­ity of sensors, each sensor being disposed on a respectivebond pad and being oriented along a different crystal direc-tion.

8. The bonding stress testing arrangement of claim 7,wherein the plurality of sensors comprises sensors of a firstpolarity and sensors of a second polarity.

9. The bonding stress testing arrangement of claim 7,wherein each sensor is disposed on the same location of therespective bond pad and is adapted to measure a respectivecomponent of stress.

10. The bonding stress testing arrangement of claim 9,wherein the second sensor arrangement is adapted to deter­mine stress under the location of the plurality of sensors onthe respective bond pads based on the respective compo­nents of stress measured by the plurality of sensors.

11. The bonding stress testing arrangement of claim 1,wherein the second sensor arrangement comprises a plural­ity of arrays of sensors, each array of sensors being disposed

segments. The plurality of series of sensors may includeseries of sensors of a first polarity and series of sensors of asecond polarity. Determining stress distribution over a por­tion or an entire of the bonding area under the at least onebond pad may further include evaluating the measurementsof each series of sensors arranged along a different crystaldirection. The sensors of each series may have the samepolarity and may be arranged along a same crystal direction.Each series of sensors may have the same number ofsensors. Each series of sensors may measure a respective 10

component of stress. Determining stress distribution over aportion or an entire ofthe bonding area under the at least onebond pad may further include determining stress distributionunder the area of the bond pad covered by the plurality of 15

series of sensors based on the respective components ofstress measured by the plurality of series of sensors.

In one embodiment, measuring an average stress on aportion of a bonding area under the at least one bond padmay be carried out by a first sensor arrangement. Determin- 20

ing stress distribution over a portion or an entire of thebonding area under the at least one bond pad may be carriedout by a second sensor arrangement. The method mayinclude evaluating the measurements of the first sensorarrangement and the second sensor arrangement disposed on 25

the same bond pad or on different bond pads.The method may further include providing a data pro­

cessing unit to collect data representing values of the respec­tive components of stress from the plurality of sensors andto determine the stress values under the bond pad based on 30

the collected data.All the features of the above described bonding stress

arrangement are applicable for the method, and all thefeatures ofthe above described method are applicable for the 35

bonding stress arrangement.While embodiments of the invention have been particu­

larly shown and described with reference to specific embodi­ments' it should be understood by those skilled in the art thatvarious changes in form and detail may be made therein 40

without departing from the spirit and scope of the inventionas defined by the appended claims. The scope of the inven­tion is thus indicated by the appended claims and all changeswhich come within the meaning and range of equivalency ofthe claims are therefore intended to be embraced.In this document, the following documents are cited:[1] Mayer, M., Moon, J. T., Persic, J., "Measuring Stress

Next to Au Ball During High Temperature Aging", Micro­electronics Reliability, Vol. 49, 2009, P 771-781

[2] Shah, A., Lee, J., Mayer, M., Zhou, Y, "Online Methods 50

to Measure Breaking Force of Bonding Wire using aCMOS stress sensor and a proximity sensor", Sensor andActuators A: Physical, Vol. 148, 2008, P 462-471

[3] Shah, A., Mayer, M., Zhou, Y, Hong, S. J., Moon, J. T.,"In situ ultrasonic force signals during low-temperature 55

thermosonic copper wire bonding", Microelectronic Engi­neering, Vol. 85, 2008, P 1851-1857

[4] Shah, A., Mayer, M., Zhou, Y, Persic, J., Moon, J. T.,"Optimisation of Ultrasound and Bond Force to ReducePad Stress in Thermosonic Cu Ball Bonding", Proceed- 60

ings 11 th Electronics Packaging Technology Conference(EPTC), Singapore, 2009.

[5] Mayer, M., Paul, 0., Baltes, H., "In-situ Measurement ofStress and Temperature under Bonding Pads During WireBonding Using Integrated Microsensors", Proceedings 65

2nd Int. ConfEmerging Microelectr. and Intercom. Tech.(EMIT), Bangalore, India, 1998. p 129-133

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US 9,506,823 B2

45

10

50

19on a respective bond pad such that each array of sensorscovers a portion of or an entire area of the respective bondpad.

12. The bonding stress testing arrangement of claim 11wherein each array of sensors covers the entire bonding are~under the respective bond pad.

13. The bonding stress testing arrangement of claim 11wherein the plurality of arrays of sensors comprises array~of sensors of a first polarity and arrays of sensors of a secondpolarity.

14. The bonding stress testing arrangement of claim 11wherein each array of sensors is oriented along a differen~

crystal direction and comprises the same number ofsensors;

wherein the sensors of each array have the same polarity 15

and are oriented along a same crystal direction.15. The bonding stress testing arrangement of claim 11

wherein each array of sensors is adapted to measure ~respective component of stress.

16. The bonding stress testing arrangement of claim 15 20

wherein the second sensor arrangement is adapted to deter~mine stress distribution under the area of the bond padcovered by the plurality of arrays of sensors based on therespective components of stress measured by the plurality ofarrays of sensors. 25

17. The bonding stress testing arrangement of claim 1:-"herein the second sensor arrangement comprises a plural~It~ of groups of sensors, each group of sensors beingonented along a different crystal direction.

18. The bonding stress testing arrangement of claim 17 30

wherein each group of sensors comprises a plurality ofseries of sensors, wherein each series of sensors isdisposed on a different portion of a respective bondpad;

w~ere!n the corresponding series of sensors of each group 35

IS dIsposed on the same portion of the respective bondpad.

19. The bonding stress testing arrangement of claim 18wherein each group of sensors has the same number of serie~of sensors, and each series of sensors has the same number 40

of sensors.20. The bonding stress testing arrangement of claim 17

wherein the plurality of groups of sensors comprises group~of sensors of a first polarity and groups of sensors of asecond polarity.

21. The bonding stress testing arrangement of claim 17wherein each group of sensors is oriented along a differen~

crystal direction;wherein the sensors of each group have the same polarity

and are oriented along a same crystal direction.22. The bonding stress testing arrangement of claim 17

wherein each group of sensors is adapted to measure ~respective component of stress.

23. The bonding stress testing arrangement of claim 22w~erein the second sensor arrangement is adapted to deter~ 55

mme stress distribution under the area of the bond padcovered by the plurality of groups of sensors based on therespective components of stress measured by the plurality ofgroups of sensors.

24. The bonding stress testing arrangement of claim 1 60

wherein the second sensor arrangement comprises a plural~

20ity of series of sensors, each series of sensors disposed in thecentre of a corresponding bond pad of a plurality of bondpads.

25. The bonding stress testing arrangement of claim 24wherein each bond pad comprises a group of bond seg~

ments, wherein each group of bond segments has abonding area disposed at a different region of thecorresponding bond pad;

wherein each group of bond segments has the samenumber of bond segments.

26. The bonding stress testing arrangement of claim 24,wherein the plurality of series of sensors comprises series ofsensors of a first polarity and series of sensors of a secondpolarity.

27. The bonding stress testing arrangement of claim 24wherein each series of sensors is oriented along a differen~

crystal direction and has the same number of sensors'wherein the sensors of each series have the same polari~

and are oriented along a same crystal direction.28. The bonding stress testing arrangement of claim 24

wherein each series of sensors is adapted to measure ~respective component of stress.

29. The bonding stress testing arrangement of claim 28wherein the second sensor arrangement is adapted to deter~mine stress distribution under the area of the bond padcovered by the plurality of series of sensors based on therespective components of stress measured by the plurality ofseries of sensors.

30. The bonding stress testing arrangement of claim 1,further comprising a data processing unit adapted to collectdata representing values of the respective components ofstress from the plurality of sensors and to determine thestress values under the bond pad based on the collected data.

31. A method of determining stress on a portion of abonding area under at least one bond pad, the methodcomprising:

measuring an average stress on a portion ofa bonding areaunder the at least one bond pad; or

measuring an average stress on a portion ofa bonding areaunder the at least one bond pad, and detennining stressdistribution over a portion or an entire of the bondingarea under the at least one bond pad;

wherein measuring an average stress on a portion of abonding area under the at least one bond pad comprisesevaluating measurements of a plurality of sensors dis­posed on a portion of the bond pad, wherein theplurality of sensors comprises sensors of a first polarityand sensors of a second polarity;

wherein measuring an average stress on a portion of abonding area under the at least one bond pad furthercomprises evaluating the measurements of the pluralityof sensors arranged such that a sensor of the firstpolarity is placed adjacent to a sensor of the secondpolarity and the sensor of the second polarity is placedadj~cent to a further sensor of the first polarity;

wherem the first polarity comprises n-type conductivityand the second polarity comprises p-type conductivity,or the first polarity comprises p-type conductivity andthe second polarity comprises n-type conductivity.

* * * * *