vibrating capacitor and surface photovoltage measurements for semiconductor surface studies

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Vibrating capacitor and Vibrating capacitor and surface photovoltage surface photovoltage measurements for measurements for semiconductor surface semiconductor surface studies studies BME-EET dr. Mizsei, János Berkeley, 2008 Budapest University of Technology and Economics, Department of Electron Devices

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Vibrating capacitor and surface photovoltage measurements for semiconductor surface studies. BME-EET dr. Mizsei, János Berkeley, 2008. Budapest University of Technology and Economics, Department of Electron Devices. Part of the world heritage. Outline. Introduction Experimental methods - PowerPoint PPT Presentation

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  • Vibrating capacitor and surface photovoltage measurements for semiconductor surface studiesBME-EET

    dr. Mizsei, JnosBerkeley, 2008Budapest University of Technology and Economics, Department of Electron Devices

  • Part of the world heritage

  • OutlineIntroductionExperimental methodsvibrating capacitor: history and theoryC-V methods for characterisation of Metal-SiO2-Si systemvibrating capacitor (and SPV) for surface mappingResults from oxidized and native oxide covered surfacesExplanation: band diagrams, Fermi level pinningOther possibilities of the light excitation and capacitive probespn tester: a simplified SPV for conductivity type testsheet resistance tester by laser light excitation and SPV detectionstatic charge: touch free Q-V (C-V) diagram, passivation by static surface chargetemperature changing: modified Gray-Brown methode for Dit determination tunnel current (oxide thickness) testcontactless mapping of fotovoltaic structures and devicesVibrating capacitor for semiconductor gas sensorsConclusion

  • Introductionthe semiconductor surfaces are extremely sensitive to the environment

    thereforecharacterisation of the semiconductor surface (and bulk) properties

    is extremely important !

  • The CPD:zero electric field between the plates !CPD compensated:Lower work function (electron emission, positive surface charge)Higher work function (negative charge on the surface)A BSheet chargesdipole layer

  • History: Volta: 1801.Lord Kelvin, 1880-90: Phil. Mag.

  • Schematic draw:Experimental setup of Lord Kelvin

  • Current to be detected:Capacitance:Charge:

  • Up to date vibrating capacitor equipment: frequency selective amplifying, phase sensitive (multiply) demodulationfeedback of the DC voltage (automatic compensation)optical excitation for surface photovoltage measurementsdigital realisationsecond harmonics detection and feedback for distance controlsurface mapping (x-y scan).

  • Ideal Voltmeter: I=0 !thus no galvanic contact is needed.Than how to measure?Detect the electrostatic field by vibrating reference electrode,compensate the electrostatic field, until the field is zero andread the compensating voltage!

  • MOS structureminority carriers, lifetimet

  • SiO2-Si structures: MOSEnergy band diagram

  • HF C-V plot

  • Traditional C-V methodspossibilities: Qf Qm Qot Dit Nd Na tadvantages: exact, well developed method, available equipmentdisadvantages: electrodes are needed (destructive process), mapping is difficult The surface charge analyser: it is an improved version.

  • SiO2-Si structuresEnergy band diagram

  • SiO2-Si structuresEnergy band diagram during high intensity light excitation

  • Samples:

    80 nm thermal oxide on the left side or450 nm thermal oxide on the left sidenative oxide on the right sideSurface:

    P-0.01 ohmcmP-5-10 ohmcmN-35-60 ohmcm N-7-20 ohmcmN-0.001 ohmcmDoping:

    51 mm diameter wafer

  • Vibrating capacitor (Kelvin) methodwith transparent reference electrode

  • Surface photo-voltage (SPV) measurements

  • Vibrating capacitor and SPV results: P-5-10 ohmcm

    P-0.01 ohmcm - = - =V - VFB = Y SPV

  • Vibrating capacitor and SPV results: ohmcm N-35-60

    N-7-20

    N-0.001 V - VFB = Y SPV

  • Band diagrams: moderately doped p Si SPV

    V - VFB = Yinversionweak inversioninversion

  • Band diagrams: p+ Si SPV

    V - VFB = Y

    Vnear flat-band(depletion)near flat-band(depletion) near flat-band(depletion)

  • Band diagrams: n+ Si SPV

    V - VFB = Y

    Vnear flat-band(accumulation)near flat-band(depletion) near flat-band(accumulation)

  • Band diagrams: moderately doped n Si SPV

    V - VFB = Yaccumulationdepletionaccumulation

  • Summary of the surface conditionsYYVVQSS>080nm SiO2 native SiO2

    Doping

    Surface layer

    n+

    n

    p

    p+

    Real bare

    accumulation

    accumulation

    inversion

    (weak) depletion

    Ultra thin oxide,

    "bare"

    (weak) depletion, near flat-band

    depletion,

    near intrinsic

    inversion,

    near intrinsic

    (weak) depletion, near flat-band

    Thick oxide

    accumulation

    accumulation

    inversion

    (weak) depletion

  • PN tester A simplified SPV for conductivity type test:Basis of operation: ultra thin insulator covered surfaces are in depletion (Fermi level pinning), thus the phase of the SPV signal is characteristic of the bulk conductivity type.

  • Sheet resistance tester by SPV excitation and detection: model

    r =5.10 ohmcm

  • Sheet resistance tester by SPV excitation and detection: simplified model

  • Sheet resistance tester by SPV excitation and detection: capacitive coupling

    Test resulted in a good correlation!

  • Sheet resistance tester by SPV excitation and detection

    SHR four point probe

  • Touch free C-V (Q-V) method:static charge on the surfaceby conducting polymerby corona dischargeby light excited tunnel currentwhich yields a bias, thusQf Qm Qot Dit , Nd Nacan be calculated !

  • Calibration: static charge on the SiO2 surface by a conducting stamp 2.5, 1.5, -1.5 VMapping by 0.3 mmstep size

    Diagram1

    1.09

    1.36

    1.66

    1.93

    2.17

    2.35

    2.51

    2.5

    2.53

    2.56

    2.5

    2.5

    2.48

    2.58

    2.6

    2.63

    2.69

    2.68

    2.65

    2.64

    2.49

    2.41

    2.18

    1.92

    1.69

    1.4

    1.12

    0.96

    0.87

    0.89

    0.95

    1.02

    1.13

    1.19

    1.26

    1.32

    1.35

    1.41

    1.45

    1.49

    1.54

    1.57

    1.54

    1.59

    1.56

    1.59

    1.63

    1.61

    1.59

    1.55

    1.45

    1.24

    0.86

    0.35

    -0.23

    -0.78

    -1.2

    -1.39

    -1.48

    -1.47

    -1.49

    -1.51

    -1.48

    -1.46

    -1.51

    -1.49

    -1.43

    -1.34

    -1.25

    -1.03

    -0.8

    -0.52

    -0.29

    -0.04

    0.26

    0.43

    0.54

    0.6

    0.66

    0.64

    Munka1

    1.09

    1.36

    1.66

    1.93

    2.17

    2.35

    2.51

    2.5

    2.53

    2.56

    2.5

    2.5

    2.48

    2.58

    2.6

    2.63

    2.69

    2.68

    2.65

    2.64

    2.49

    2.41

    2.18

    1.92

    1.69

    1.4

    1.12

    0.96

    0.87

    0.89

    0.95

    1.02

    1.13

    1.19

    1.26

    1.32

    1.35

    1.41

    1.45

    1.49

    1.54

    1.57

    1.54

    1.59

    1.56

    1.59

    1.63

    1.61

    1.59

    1.55

    1.45

    1.24

    0.86

    0.35

    -0.23

    -0.78

    -1.2

    -1.39

    -1.48

    -1.47

    -1.49

    -1.51

    -1.48

    -1.46

    -1.51

    -1.49

    -1.43

    -1.34

    -1.25

    -1.03

    -0.8

    -0.52

    -0.29

    -0.04

    0.26

    0.43

    0.54

    0.6

    0.66

    0.64

    Munka1

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    Munka2

    Munka3

  • Q=00QfDYsDQ1 DQ2Vibrating capacitor Q-V, Q-Y , corona charged

    Parameters

    V-Q Curve Evaluation

    4836060084492520000000

    Semiconductor Parameters

    qElementary Charge0Q

    kBoltzmann's Constant0J/K

    e0Dielectric Constant0F/m

    eSiRelative Dielectric Constant for Si11.7

    eoxRelative Dielectric Constant for SiO23.8

    Input Parameters

    TTemperature295K"=Editable"

    NdDoping Concentation5.00E+14cm-3

    Conduction Typep

    Calculated General Parameters

    EgEnergy Gap for Si1.126eV

    niIntrinsic Concentration5821659136cm-3

    LDiIntrinsic Debye Length37.63m

    VtThermal Voltage25.44mV

    VbBuilt-in Voltage289mV

    Calculated V-Q Curve ParametersTox[A]

    ToxOxide Thickness805.00800

    CoxOxide Capacitance0.04F/cm2

    VfbFlat-Band Voltage-4184mV

    VmbMid-Band Voltage-3089mV

    VthThreshold Voltage-2127mV

    VsurfSurface Voltage1592mV

    VsSurface Potential808mV

    VoxOxide Voltage784mV

    QtotTotal Charge1093749979474.981/cm2

    QnetNet Charge1172646069136.361/cm2

    DitDensity of Interface States (Vs1 = 2Vb, Vs2 = 0)824276735.7558021/mVcm2

    QitInterface Trapped Oxide Charge476532191484.581/cm2

    Calculated Additional V-Q Curve Parameters

    QfbCharge at Flat-Band Voltage-1093749979474.981/cm2

    QmbCharge at Mid-Band Voltage-807360311938.511/cm2

    QthCharge at Threshold Voltage-556016654940.0951/cm2

    Qmb idealCharge at Mid-Band Voltage (Dit=0)41327316568.91761/cm2

    Qth idealCharge at Threshold Voltage (Dit = 0)61201144152.5341/cm2

    Dit1Density of Interface States (Vs1 = Vb, Vs2 = 0)847788239.6107361/mVcm2

    Dit2Density of Interface States (Vs1 = 2Vb, Vs2 = Vb)800765231.9008691/mVcm2

    Init Parameters

    Evaluate V-Q Curve

    Delete Data

    V-Q Curve Data

    ChargeDarkBrightCorrected BrightDark - Corr. BrightIdeal Q-V CurveNr Of PointsChargeVb2*Vb

    -385-8.66-8.68-8.4210891724-0.238910675-0.235492721298-3850.28906080130.5781216025

    -380-8.54-8.55-8.3015384674-0.2384614944-0.23426532751000.28906080130.5781216025

    -375-8.41-8.43-8.1819896698-0.2280101776-0.2330089509

    -370-8.29-8.3-8.0624389648-0.227560997-0.2317235768

    -365-8.17-8.18-7.9428896904-0.2271103859-0.2304001749

    -360-8.05-8.06-7.8233399391-0.2266602516-0.2290467024

    -355-7.92-7.94-7.7037901878-0.2162098885-0.2276539654

    -350-7.8-7.81-7.5842404366-0.2157597542-0.2262211591

    -345-7.67-7.69-7.4646906853-0.205309391-0.2247490585

    -340-7.55-7.57-7.345140934-0.2048592567-0.2232308239

    -335-7.43-7.44-7.2255911827-0.2044086456-0.2216693461

    -330-7.31-7.32-7.1060419083-0.2039580345-0.2200529724

    -325-7.18-7.2-6.986492157-0.1935076714-0.2183916867

    -320-7.06-7.07-6.8669424057-0.1930575371-0.2166659087

    -315-6.94-6.95-6.7473926544-0.1926074028-0.2148852199

    -310-6.81-6.83-6.6278429031-0.1821570396-0.213034749

    -305-6.69-6.7-6.5082931519-0.1817069054-0.2111197561

    -300-6.56-6.58-6.3887434006-0.1712565422-0.2091288567

    -295-6.44-6.45-6.2691936493-0.1708064079-0.2070551962

    -290-6.32-6.33-6.149643898-0.1703562737-0.2048960775

    -285-6.19-6.21-6.0300941467-0.1599059105-0.2026427239

    -280-6.07-6.08-5.9105443954-0.1594557762-0.2002760917

    -275-5.95-5.96-5.7909946442-0.1590051651-0.197805196

    -270-5.82-5.83-5.6714448929-0.1485552788-0.1951983422

    -265-5.7-5.71-5.5518951416-0.1481046677-0.1924650222

    -260-5.57-5.59-5.4323453903-0.1376547813-0.1895713061

    -255-5.45-5.46-5.312795639-0.1372041702-0.1864961386

    -250-5.32-5.34-5.1932458878-0.1267542839-0.1832240224

    -245-5.2-5.21-5.0736961365-0.1263036728-0.1797338724

    -240-5.08-5.09-4.9541463852-0.1258535385-0.1759878248

    -235-4.95-4.96-4.8345966339-0.1154031754-0.171946153

    -230-4.82-4.83-4.7150468826-0.104953289-0.1675509363

    -225-4.7-4.71-4.5954971313-0.1045026779-0.1627546251

    -220-4.57-4.58-4.4759473801-0.0940527916-0.1574561

    -215-4.44-4.46-4.3563976288-0.0836024284-0.1515467614

    -210-4.32-4.33-4.2368483543-0.0831518173-0.1448705792

    -205-4.19-4.2-4.1172986031-0.0727014542-0.1372033954

    -200-4.06-4.07-3.9977488518-0.062251091-0.1281690747

    -195-3.93-3.94-3.8781991005-0.0518009663-0.1172794774

    -190-3.8-3.81-3.7586493492-0.0413506031-0.1034599766

    -185-3.66-3.68-3.6390995979-0.0209004879-0.0847676694

    -180-3.52-3.54-3.5195498466-0.0004501343-0.0563095063

    -175-3.4-3.4-3.400000095400

    -170-3.24-3.27-3.28045034410.04045033450.1763878316

    -165-3.09-3.13-3.16090059280.07090067860.5888694525

    -160-2.94-2.99-3.04135084150.10135078430.6631671786

    -155-2.79-2.85-2.92180109020.13180112840.6858050227

    -150-2.64-2.71-2.8022513390.16225123410.700288415

    -145-2.49-2.57-2.68270182610.19270181660.7111101151

    -140-2.34-2.44-2.56315207480.22315216060.7198807597

    -135-2.19-2.3-2.44360232350.25360226630.7272839546

    -130-2.04-2.16-2.32405257230.28405261040.7336865067

    -125-1.89-2.02-2.2045028210.31450283530.7393319607

    -120-1.74-1.88-2.08495306970.34495306020.7443915009

    -115-1.59-1.74-1.96540343760.37540340420.7489751577

    -110-1.43-1.6-1.84585368630.41585373880.7531706691

    -105-1.28-1.46-1.72630393510.44630396370.7570462823

    -100-1.12-1.32-1.60675418380.4867541790.7606312037

    -95-0.96-1.18-1.48720455170.52720457320.7639843822

    -90-0.8-1.03-1.36765480040.56765478850.7671298981

    -85-0.63-0.9-1.24810504910.61810505390.770082593

    -80-0.47-0.76-1.12855529790.65855526920.7728741169

    -75-0.32-0.62-1.00900554660.68900555370.7755167484

    -70-0.17-0.49-0.88945579530.71945577860.7780250907

    -65-0.03-0.35-0.7699060440.73990607260.7804213166

    -600.098-0.22-0.65035653110.74835652110.7827010155

    -550.228-0.09-0.53080677990.75880676510.7848870754

    -500.3540.032-0.41125702860.76525700090.7869794369

    -450.4820.16-0.29170727730.77370727060.7889905572

    -400.6080.285-0.1721575260.78015750650.7909241319

    -350.7320.412-0.05260777470.78460776810.7927865386

    -300.8570.5350.06694197650.79005801680.7945868373

    -250.9790.6590.18649172780.79250824450.7963168621

    -201.1020.7810.30604147910.7959585190.797997117

    -151.2270.9060.4255909920.80140900610.799620688

    -101.3491.030.54514074330.80385923390.8011919856

    -51.471.1510.66469049450.80530953410.8027216196

    01.5921.2720.78424024580.80775976180.8042014241

    51.7121.3980.90378999710.80821001530.8056403995

    101.8341.5181.02333974840.8106602430.8070408702

    151.9581.641.14288949970.8151104450.8084025979

    202.0781.7661.26243925090.81556081770.8097289801

    252.1971.8821.38198900220.81501102450.8110192418

    302.3182.0061.50153875350.81646132470.8122804165

    352.442.1211.62108850480.81891155240.8135099411

    402.562.2431.74063825610.81936168670.8147107959

    452.6822.3641.86018800740.82181191440.8158854246

    502.8012.4831.97973775860.82126235960.8170326352

    552.922.6062.09928703310.82071304320.8181526661

    603.0412.7262.21883678440.8221631050.8192517161

    653.1622.8482.33838653560.82361340520.8203236461

    703.2812.9672.45793628690.8230636120.8213759661

    753.4013.0892.57748603820.82351398470.8224061728

    803.523.2072.69703578950.82296419140.8234158754

    853.643.3272.81658554080.82341456410.824406445

    903.7573.4492.93613529210.82086467740.8253751993

    953.8783.5653.05568504330.82231497760.826331079

    1003.9983.6863.17523479460.82276511190.8272634149

    V-Q Curve Chart (2)

    -8.66-8.68-8.4210891724-0.238910675-0.23549272120.5781216025

    -8.54-8.55-8.3015384674-0.2384614944-0.23426532750.5781216025

    -8.41-8.43-8.1819896698-0.2280101776-0.2330089509

    -8.29-8.3-8.0624389648-0.227560997-0.2317235768

    -8.17-8.18-7.9428896904-0.2271103859-0.2304001749

    -8.05-8.06-7.8233399391-0.2266602516-0.2290467024

    -7.92-7.94-7.7037901878-0.2162098885-0.2276539654

    -7.8-7.81-7.5842404366-0.2157597542-0.2262211591

    -7.67-7.69-7.4646906853-0.205309391-0.2247490585

    -7.55-7.57-7.345140934-0.2048592567-0.2232308239

    -7.43-7.44-7.2255911827-0.2044086456-0.2216693461

    -7.31-7.32-7.1060419083-0.2039580345-0.2200529724

    -7.18-7.2-6.986492157-0.1935076714-0.2183916867

    -7.06-7.07-6.8669424057-0.1930575371-0.2166659087

    -6.94-6.95-6.7473926544-0.1926074028-0.2148852199

    -6.81-6.83-6.6278429031-0.1821570396-0.213034749

    -6.69-6.7-6.5082931519-0.1817069054-0.2111197561

    -6.56-6.58-6.3887434006-0.1712565422-0.2091288567

    -6.44-6.45-6.2691936493-0.1708064079-0.2070551962

    -6.32-6.33-6.149643898-0.1703562737-0.2048960775

    -6.19-6.21-6.0300941467-0.1599059105-0.2026427239

    -6.07-6.08-5.9105443954-0.1594557762-0.2002760917

    -5.95-5.96-5.7909946442-0.1590051651-0.197805196

    -5.82-5.83-5.6714448929-0.1485552788-0.1951983422

    -5.7-5.71-5.5518951416-0.1481046677-0.1924650222

    -5.57-5.59-5.4323453903-0.1376547813-0.1895713061

    -5.45-5.46-5.312795639-0.1372041702-0.1864961386

    -5.32-5.34-5.1932458878-0.1267542839-0.1832240224

    -5.2-5.21-5.0736961365-0.1263036728-0.1797338724

    -5.08-5.09-4.9541463852-0.1258535385-0.1759878248

    -4.95-4.96-4.8345966339-0.1154031754-0.171946153

    -4.82-4.83-4.7150468826-0.104953289-0.1675509363

    -4.7-4.71-4.5954971313-0.1045026779-0.1627546251

    -4.57-4.58-4.4759473801-0.0940527916-0.1574561

    -4.44-4.46-4.3563976288-0.0836024284-0.1515467614

    -4.32-4.33-4.2368483543-0.0831518173-0.1448705792

    -4.19-4.2-4.1172986031-0.0727014542-0.1372033954

    -4.06-4.07-3.9977488518-0.062251091-0.1281690747

    -3.93-3.94-3.8781991005-0.0518009663-0.1172794774

    -3.8-3.81-3.7586493492-0.0413506031-0.1034599766

    -3.66-3.68-3.6390995979-0.0209004879-0.0847676694

    -3.52-3.54-3.5195498466-0.0004501343-0.0563095063

    -3.4-3.4-3.400000095400

    -3.24-3.27-3.28045034410.04045033450.1763878316

    -3.09-3.13-3.16090059280.07090067860.5888694525

    -2.94-2.99-3.04135084150.10135078430.6631671786

    -2.79-2.85-2.92180109020.13180112840.6858050227

    -2.64-2.71-2.8022513390.16225123410.700288415

    -2.49-2.57-2.68270182610.19270181660.7111101151

    -2.34-2.44-2.56315207480.22315216060.7198807597

    -2.19-2.3-2.44360232350.25360226630.7272839546

    -2.04-2.16-2.32405257230.28405261040.7336865067

    -1.89-2.02-2.2045028210.31450283530.7393319607

    -1.74-1.88-2.08495306970.34495306020.7443915009

    -1.59-1.74-1.96540343760.37540340420.7489751577

    -1.43-1.6-1.84585368630.41585373880.7531706691

    -1.28-1.46-1.72630393510.44630396370.7570462823

    -1.12-1.32-1.60675418380.4867541790.7606312037

    -0.96-1.18-1.48720455170.52720457320.7639843822

    -0.8-1.03-1.36765480040.56765478850.7671298981

    -0.63-0.9-1.24810504910.61810505390.770082593

    -0.47-0.76-1.12855529790.65855526920.7728741169

    -0.32-0.62-1.00900554660.68900555370.7755167484

    -0.17-0.49-0.88945579530.71945577860.7780250907

    -0.03-0.35-0.7699060440.73990607260.7804213166

    0.098-0.22-0.65035653110.74835652110.7827010155

    0.228-0.09-0.53080677990.75880676510.7848870754

    0.3540.032-0.41125702860.76525700090.7869794369

    0.4820.16-0.29170727730.77370727060.7889905572

    0.6080.285-0.1721575260.78015750650.7909241319

    0.7320.412-0.05260777470.78460776810.7927865386

    0.8570.5350.06694197650.79005801680.7945868373

    0.9790.6590.18649172780.79250824450.7963168621

    1.1020.7810.30604147910.7959585190.797997117

    1.2270.9060.4255909920.80140900610.799620688

    1.3491.030.54514074330.80385923390.8011919856

    1.471.1510.66469049450.80530953410.8027216196

    1.5921.2720.78424024580.80775976180.8042014241

    1.7121.3980.90378999710.80821001530.8056403995

    1.8341.5181.02333974840.8106602430.8070408702

    1.9581.641.14288949970.8151104450.8084025979

    2.0781.7661.26243925090.81556081770.8097289801

    2.1971.8821.38198900220.81501102450.8110192418

    2.3182.0061.50153875350.81646132470.8122804165

    2.442.1211.62108850480.81891155240.8135099411

    2.562.2431.74063825610.81936168670.8147107959

    2.6822.3641.86018800740.82181191440.8158854246

    2.8012.4831.97973775860.82126235960.8170326352

    2.922.6062.09928703310.82071304320.8181526661

    3.0412.7262.21883678440.8221631050.8192517161

    3.1622.8482.33838653560.82361340520.8203236461

    3.2812.9672.45793628690.8230636120.8213759661

    3.4013.0892.57748603820.82351398470.8224061728

    3.523.2072.69703578950.82296419140.8234158754

    3.643.3272.81658554080.82341456410.824406445

    3.7573.4492.93613529210.82086467740.8253751993

    3.8783.5653.05568504330.82231497760.826331079

    3.9983.6863.17523479460.82276511190.8272634149

    Dark

    Bright

    Corrected Bright

    Dark - Corr. Bright

    Ideal Q-V Curve

    2*Vb

    Corona charge (nC/cm2)

    Kelvin voltage [V]

    Potential barrier [V]

    Q-V curves

    V-Q Curve Chart

    -8.66-8.68-8.4210891724-0.238910675-0.23549272120.5781216025

    -8.54-8.55-8.3015384674-0.2384614944-0.23426532750.5781216025

    -8.41-8.43-8.1819896698-0.2280101776-0.2330089509

    -8.29-8.3-8.0624389648-0.227560997-0.2317235768

    -8.17-8.18-7.9428896904-0.2271103859-0.2304001749

    -8.05-8.06-7.8233399391-0.2266602516-0.2290467024

    -7.92-7.94-7.7037901878-0.2162098885-0.2276539654

    -7.8-7.81-7.5842404366-0.2157597542-0.2262211591

    -7.67-7.69-7.4646906853-0.205309391-0.2247490585

    -7.55-7.57-7.345140934-0.2048592567-0.2232308239

    -7.43-7.44-7.2255911827-0.2044086456-0.2216693461

    -7.31-7.32-7.1060419083-0.2039580345-0.2200529724

    -7.18-7.2-6.986492157-0.1935076714-0.2183916867

    -7.06-7.07-6.8669424057-0.1930575371-0.2166659087

    -6.94-6.95-6.7473926544-0.1926074028-0.2148852199

    -6.81-6.83-6.6278429031-0.1821570396-0.213034749

    -6.69-6.7-6.5082931519-0.1817069054-0.2111197561

    -6.56-6.58-6.3887434006-0.1712565422-0.2091288567

    -6.44-6.45-6.2691936493-0.1708064079-0.2070551962

    -6.32-6.33-6.149643898-0.1703562737-0.2048960775

    -6.19-6.21-6.0300941467-0.1599059105-0.2026427239

    -6.07-6.08-5.9105443954-0.1594557762-0.2002760917

    -5.95-5.96-5.7909946442-0.1590051651-0.197805196

    -5.82-5.83-5.6714448929-0.1485552788-0.1951983422

    -5.7-5.71-5.5518951416-0.1481046677-0.1924650222

    -5.57-5.59-5.4323453903-0.1376547813-0.1895713061

    -5.45-5.46-5.312795639-0.1372041702-0.1864961386

    -5.32-5.34-5.1932458878-0.1267542839-0.1832240224

    -5.2-5.21-5.0736961365-0.1263036728-0.1797338724

    -5.08-5.09-4.9541463852-0.1258535385-0.1759878248

    -4.95-4.96-4.8345966339-0.1154031754-0.171946153

    -4.82-4.83-4.7150468826-0.104953289-0.1675509363

    -4.7-4.71-4.5954971313-0.1045026779-0.1627546251

    -4.57-4.58-4.4759473801-0.0940527916-0.1574561

    -4.44-4.46-4.3563976288-0.0836024284-0.1515467614

    -4.32-4.33-4.2368483543-0.0831518173-0.1448705792

    -4.19-4.2-4.1172986031-0.0727014542-0.1372033954

    -4.06-4.07-3.9977488518-0.062251091-0.1281690747

    -3.93-3.94-3.8781991005-0.0518009663-0.1172794774

    -3.8-3.81-3.7586493492-0.0413506031-0.1034599766

    -3.66-3.68-3.6390995979-0.0209004879-0.0847676694

    -3.52-3.54-3.5195498466-0.0004501343-0.0563095063

    -3.4-3.4-3.400000095400

    -3.24-3.27-3.28045034410.04045033450.1763878316

    -3.09-3.13-3.16090059280.07090067860.5888694525

    -2.94-2.99-3.04135084150.10135078430.6631671786

    -2.79-2.85-2.92180109020.13180112840.6858050227

    -2.64-2.71-2.8022513390.16225123410.700288415

    -2.49-2.57-2.68270182610.19270181660.7111101151

    -2.34-2.44-2.56315207480.22315216060.7198807597

    -2.19-2.3-2.44360232350.25360226630.7272839546

    -2.04-2.16-2.32405257230.28405261040.7336865067

    -1.89-2.02-2.2045028210.31450283530.7393319607

    -1.74-1.88-2.08495306970.34495306020.7443915009

    -1.59-1.74-1.96540343760.37540340420.7489751577

    -1.43-1.6-1.84585368630.41585373880.7531706691

    -1.28-1.46-1.72630393510.44630396370.7570462823

    -1.12-1.32-1.60675418380.4867541790.7606312037

    -0.96-1.18-1.48720455170.52720457320.7639843822

    -0.8-1.03-1.36765480040.56765478850.7671298981

    -0.63-0.9-1.24810504910.61810505390.770082593

    -0.47-0.76-1.12855529790.65855526920.7728741169

    -0.32-0.62-1.00900554660.68900555370.7755167484

    -0.17-0.49-0.88945579530.71945577860.7780250907

    -0.03-0.35-0.7699060440.73990607260.7804213166

    0.098-0.22-0.65035653110.74835652110.7827010155

    0.228-0.09-0.53080677990.75880676510.7848870754

    0.3540.032-0.41125702860.76525700090.7869794369

    0.4820.16-0.29170727730.77370727060.7889905572

    0.6080.285-0.1721575260.78015750650.7909241319

    0.7320.412-0.05260777470.78460776810.7927865386

    0.8570.5350.06694197650.79005801680.7945868373

    0.9790.6590.18649172780.79250824450.7963168621

    1.1020.7810.30604147910.7959585190.797997117

    1.2270.9060.4255909920.80140900610.799620688

    1.3491.030.54514074330.80385923390.8011919856

    1.471.1510.66469049450.80530953410.8027216196

    1.5921.2720.78424024580.80775976180.8042014241

    1.7121.3980.90378999710.80821001530.8056403995

    1.8341.5181.02333974840.8106602430.8070408702

    1.9581.641.14288949970.8151104450.8084025979

    2.0781.7661.26243925090.81556081770.8097289801

    2.1971.8821.38198900220.81501102450.8110192418

    2.3182.0061.50153875350.81646132470.8122804165

    2.442.1211.62108850480.81891155240.8135099411

    2.562.2431.74063825610.81936168670.8147107959

    2.6822.3641.86018800740.82181191440.8158854246

    2.8012.4831.97973775860.82126235960.8170326352

    2.922.6062.09928703310.82071304320.8181526661

    3.0412.7262.21883678440.8221631050.8192517161

    3.1622.8482.33838653560.82361340520.8203236461

    3.2812.9672.45793628690.8230636120.8213759661

    3.4013.0892.57748603820.82351398470.8224061728

    3.523.2072.69703578950.82296419140.8234158754

    3.643.3272.81658554080.82341456410.824406445

    3.7573.4492.93613529210.82086467740.8253751993

    3.8783.5653.05568504330.82231497760.826331079

    3.9983.6863.17523479460.82276511190.8272634149

    Dark

    Bright

    Corrected Bright

    Dark - Corr. Bright

    Ideal Q-V Curve

    2*Vb

    Corona charge (nC/cm2)

    Kelvin voltage [V]

    Potential barrier [V]

    Q-V curves

  • Basic equations for the evaluation:

  • Surface and interface charges control the potential barrier

    Dit

    EMBED CorelDraw.Graphic.8

    _984215327.unknown

  • Bands at different temperatures:Surface voltage mapping at T1 and T2 Dit can be calculated from the charge difference (dQss) and the work function shift (dW)

  • Calculation of Dit (modified Gray-Brown method): T2T1

    2niLDi is 5.6x107 1/cm2 for silicon,

    B2 -B1 is about 1 mV/K.

    Test at different temperatures in dark, and in light, respectively:

  • Results: P 5 ohmcm, 80 nm oxide=====-----320 K 300 K 20 K

    V2 V1 V2 -V1

    VFB2 VFB1 VFB2 -VFB1 FB2 -FB1

    Y2 Y1 Y2 - Y1

    -=T2-T1

  • Interface state densities:

    Y2Y1V2 -V1V2 -V1

    Diagram1

    3500000000000850000000000

    93000000000002400000000000

    97000000000002800000000000

    140000000000004400000000000

    53000000000001500000000000

    60000000000001660000000000

    2100000000000600000000000

    33000000000001130000000000

    1700000000000564000000000

    1600000000000510000000000

    1000000000000270000000000

    2000000000000630000000000

    1200000000000328000000000

    1300000000000420000000000

    1100000000000350000000000

    1600000000000540000000000

    2000000000000700000000000

    2200000000000800000000000

    980000000000360000000000

    Diagram2

    3500000000000850000000000

    93000000000002400000000000

    97000000000002800000000000

    140000000000004400000000000

    53000000000001500000000000

    60000000000001660000000000

    2100000000000600000000000

    33000000000001130000000000

    1700000000000564000000000

    1600000000000510000000000

    1000000000000270000000000

    2000000000000630000000000

    1200000000000328000000000

    1300000000000420000000000

    1100000000000350000000000

    1600000000000540000000000

    2000000000000700000000000

    2200000000000800000000000

    980000000000360000000000

    Distance |mm|

    Dit

    Diagram4

    -17-17

    -16550000000000

    -15690000000000

    -14300000000000

    120000000000330000000000

    180000000000300000000000

    175000000000280000000000

    247000000000292000000000

    226000000000315000000000

    310000000000300000000000

    286000000000311000000000

    310000000000320000000000

    110000000000250000000000

    -4270000000000

    -3230000000000

    -2300000000000

    -1300000000000

    260000000000290000000000

    650000000000310000000000

    523000000000257000000000

    420000000000220000000000

    170000000000200000000000

    100000000000176000000000

    290000000000190000000000

    240000000000170000000000

    134000000000142000000000

    142000000000131000000000

    4470000000083000000000

    1172000000000

    1285000000000

    1391000000000

    1479000000000

    15115000000000

    16128000000000

    1717

    Dit from HF C-V

    Distance |mm|

    Dit

    Munka1

    ni1ni2niTh1Th2Thut1LdiLdi1Ldi2ut2utDistance [mm]Kelvin Voltage [V]Kelvin Voltage [V]Kelvin Voltage [V]

    5.71E+092.93E+101.33E+102.95E+023.17E+023.06E+020.025443752.54E-033.87E-031.71E-030.027341250.0263925-25

    -240.0480.3583-0.009

    -230.07950.4014-0.0079

    -220.11720.4053-0.0094

    -210.15170.3909-0.0056

    fib1fib2fibpszit1pszit2pszi-200.17240.4049-0.0049

    -0.3351581587-0.3154404554-0.32532489160.3350.3770.356-190.21770.4111-0.0014

    -180.26220.40370.0002

    Fft1Fft2FfvVt1Vt2dFperdpsziDitklDitdiff-170.2970.39510.0021

    2529.03253372881144.6631542571678.43845875681.0001.011-2546.1462942142-2.49777E+111.27914E+11-160.32450.38830.00475.50E+11

    -150.33980.38830.00396.90E+11

    2-140.35290.39030.00713.00E+11

    -1-130.36090.38310.00661.20E+113.30E+11

    771-120.36240.38090.00711.80E+113.00E+11

    1000-110.36180.38140.00741.75E+112.80E+11

    1377-100.36220.37840.00722.47E+112.92E+11

    1335-90.35610.37310.00692.26E+113.15E+11

    Nekq-80.35440.36770.00713.10E+113.00E+11

    3.00E+1501.38E-231.60E-19-70.34980.36410.0072.86E+113.11E+11

    -60.34460.35760.00693.10E+113.20E+11

    -50.33880.35870.00811.10E+112.50E+11

    -40.33570.36480.00772.70E+11

    -30.3320.36030.00852.30E+11

    -20.32910.35670.00733.00E+11

    -10.32360.3540.00733.00E+11

    00.32570.33880.00752.60E+112.90E+11

    10.32860.32570.00736.50E+113.10E+11

    20.32880.3290.00815.23E+112.57E+11

    30.32990.33260.00894.20E+112.20E+11

    40.33930.35520.00911.70E+112.00E+11

    50.35020.37040.00971.00E+111.76E+11

    60.35510.36530.00942.90E+111.90E+11

    70.34960.36240.00992.40E+111.70E+11

    80.34480.36240.01081.34E+111.42E+11

    90.3430.35860.01121.42E+111.31E+11

    100.34280.36490.01334.47E+108.30E+10

    110.33740.36810.01397.20E+10

    120.33610.36930.01328.50E+10

    130.33660.37140.01299.10E+10

    140.33620.37480.01357.90E+10

    150.33680.37430.01181.15E+11

    160.33490.37660.01131.28E+11

    170.33340.37180.01

    180.32330.35920.0081

    190.30850.33540.0059

    200.28620.29310.0041

    210.28460.234-0.0014

    220.27130.1956-0.0039

    230.24930.1518-0.0076

    240.24050.1077-0.0083

    25

    Munka1

    0

    0

    n tipus

    p tipus

    Diagram1

    3500000000000850000000000

    93000000000002400000000000

    97000000000002800000000000

    140000000000004400000000000

    53000000000001500000000000

    60000000000001660000000000

    2100000000000600000000000

    33000000000001130000000000

    1700000000000564000000000

    1600000000000510000000000

    1000000000000270000000000

    2000000000000630000000000

    1200000000000328000000000

    1300000000000420000000000

    1100000000000350000000000

    1600000000000540000000000

    2000000000000700000000000

    2200000000000800000000000

    980000000000360000000000

    Diagram2

    3500000000000850000000000

    93000000000002400000000000

    97000000000002800000000000

    140000000000004400000000000

    53000000000001500000000000

    60000000000001660000000000

    2100000000000600000000000

    33000000000001130000000000

    1700000000000564000000000

    1600000000000510000000000

    1000000000000270000000000

    2000000000000630000000000

    1200000000000328000000000

    1300000000000420000000000

    1100000000000350000000000

    1600000000000540000000000

    2000000000000700000000000

    2200000000000800000000000

    980000000000360000000000

    Distance |mm|

    Dit

    Diagram4

    -17-17

    -16550000000000

    -15690000000000

    -14300000000000

    120000000000330000000000

    180000000000300000000000

    175000000000280000000000

    247000000000292000000000

    226000000000315000000000

    310000000000300000000000

    286000000000311000000000

    310000000000320000000000

    110000000000250000000000

    -4270000000000

    -3230000000000

    -2300000000000

    -1300000000000

    260000000000290000000000

    650000000000310000000000

    523000000000257000000000

    420000000000220000000000

    170000000000200000000000

    100000000000176000000000

    290000000000190000000000

    240000000000170000000000

    134000000000142000000000

    142000000000131000000000

    4470000000083000000000

    1172000000000

    1285000000000

    1391000000000

    1479000000000

    15115000000000

    16128000000000

    1717

    Dit from HF C-V

    Distance |mm|

    Dit

    Munka1

    ni1ni2niTh1Th2Thut1LdiLdi1Ldi2ut2utDistance [mm]Kelvin Voltage [V]Kelvin Voltage [V]Kelvin Voltage [V]

    5.71E+092.93E+101.33E+102.95E+023.17E+023.06E+020.025443752.54E-033.87E-031.71E-030.027341250.0263925-25

    -240.0480.3583-0.009

    -230.07950.4014-0.0079

    -220.11720.4053-0.0094

    -210.15170.3909-0.0056

    fib1fib2fibpszit1pszit2pszi-200.17240.4049-0.0049

    -0.3351581587-0.3154404554-0.32532489160.3350.3770.356-190.21770.4111-0.0014

    -180.26220.40370.0002

    Fft1Fft2FfvVt1Vt2dFperdpsziDitklDitdiff-170.2970.39510.0021

    2529.03253372881144.6631542571678.43845875681.0001.011-2546.1462942142-2.49777E+111.27914E+11-160.32450.38830.00475.50E+11

    -150.33980.38830.00396.90E+11

    2-140.35290.39030.00713.00E+11

    -1-130.36090.38310.00661.20E+113.30E+11

    771-120.36240.38090.00711.80E+113.00E+11

    1000-110.36180.38140.00741.75E+112.80E+11

    1377-100.36220.37840.00722.47E+112.92E+11

    1335-90.35610.37310.00692.26E+113.15E+11

    Nekq-80.35440.36770.00713.10E+113.00E+11

    3.00E+1501.38E-231.60E-19-70.34980.36410.0072.86E+113.11E+11

    -60.34460.35760.00693.10E+113.20E+11

    -50.33880.35870.00811.10E+112.50E+11

    -40.33570.36480.00772.70E+11

    -30.3320.36030.00852.30E+11

    -20.32910.35670.00733.00E+11

    -10.32360.3540.00733.00E+11

    00.32570.33880.00752.60E+112.90E+11

    10.32860.32570.00736.50E+113.10E+11

    20.32880.3290.00815.23E+112.57E+11

    30.32990.33260.00894.20E+112.20E+11

    40.33930.35520.00911.70E+112.00E+11

    50.35020.37040.00971.00E+111.76E+11

    60.35510.36530.00942.90E+111.90E+11

    70.34960.36240.00992.40E+111.70E+11

    80.34480.36240.01081.34E+111.42E+11

    90.3430.35860.01121.42E+111.31E+11

    100.34280.36490.01334.47E+108.30E+10

    110.33740.36810.01397.20E+10

    120.33610.36930.01328.50E+10

    130.33660.37140.01299.10E+10

    140.33620.37480.01357.90E+10

    150.33680.37430.01181.15E+11

    160.33490.37660.01131.28E+11

    170.33340.37180.01

    180.32330.35920.0081

    190.30850.33540.0059

    200.28620.29310.0041

    210.28460.234-0.0014

    220.27130.1956-0.0039

    230.24930.1518-0.0076

    240.24050.1077-0.0083

    25

    Munka1

    0

    0

    n tipus

    p tipus

  • Static charge by the strong light excitation:V maps by vibrating capacitor-=negative charge on the surface due to the tunnel current from the silicon.

  • 1. equilibrium, steady state2. non-equilibrium,non-steady state3. non-equilibrium,steady state4. equilibrium,non-steady state

  • Charging up of an ultrathin oxide covered Si by intensive light excitationY

    Diagram1

    0.358128

    0.358891

    0.359349

    0.160372

    0.158998

    0.159303

    0.158388

    0.159456

    0.158083

    0.319523

    0.319065

    0.159609

    0.158998

    0.160372

    0.159609

    0.160372

    0.303043

    0.304264

    0.304569

    0.160524

    0.159609

    0.159609

    0.158998

    0.158693

    0.288395

    0.289921

    0.158388

    0.157472

    0.156557

    0.156862

    0.156557

    0.274967

    0.276035

    0.15732

    0.156099

    0.155183

    0.154268

    0.15381

    0.153505

    0.260013

    0.261844

    0.154878

    0.151674

    0.151521

    0.150453

    0.150606

    0.14969

    0.14969

    0.149232

    0.149232

    0.148164

    0.14847

    0.147401

    0.147554

    0.147249

    0.146944

    0.146638

    0.146333

    0.146486

    0.145113

    0.14496

    0.144197

    0.144044

    0.143739

    0.143739

    0.143587

    0.143129

    0.142976

    0.143129

    0.142824

    0.141756

    0.142061

    0.141603

    0.209963

    0.212252

    0.213778

    0.142824

    0.141145

    0.139772

    0.138246

    0.137941

    0.138093

    0.13672

    0.137025

    0.136567

    0.135805

    0.135042

    0.135042

    0.135042

    0.134736

    0.133516

    0.133668

    0.133668

    0.133058

    0.132753

    0.132448

    0.132448

    0.132448

    0.131837

    0.13199

    0.131074

    0.130769

    0.131532

    0.131074

    0.130922

    0.130922

    0.131379

    0.131379

    0.131227

    0.130616

    0.131074

    0.130464

    0.130616

    0.184328

    0.187533

    0.132295

    0.131227

    0.130159

    0.128785

    0.128328

    0.129396

    0.128785

    0.127107

    0.128022

    0.128022

    0.126802

    0.127412

    0.127565

    0.126802

    0.127259

    0.126954

    0.126954

    0.126954

    0.126802

    0.126649

    0.125886

    0.126191

    0.126344

    0.126039

    0.125734

    0.126802

    0.128022

    0.128022

    0.127412

    0.126802

    0.126039

    0.126649

    0.126954

    0.127565

    0.127259

    0.127717

    0.127717

    0.126344

    0.126039

    0.126344

    0.127412

    0.127259

    0.127412

    0.127259

    0.12787

    0.126344

    0.126191

    0.126039

    0.125581

    0.125734

    0.126191

    0.125581

    0.125886

    0.126802

    0.126954

    0.127107

    0.127412

    0.127565

    0.127717

    0.126649

    0.127259

    0.127565

    0.127107

    0.126191

    0.126191

    0.125734

    0.126954

    0.126649

    0.126649

    0.126802

    0.125734

    0.126039

    0.126344

    0.125428

    0.125886

    0.125734

    0.125734

    0.125734

    0.126649

    0.125734

    0.125734

    0.126039

    0.125581

    0.126191

    0.126649

    0.126191

    0.126344

    0.125886

    0.125581

    0.126497

    0.126344

    0.125734

    0.126497

    0.125886

    0.125734

    0.126191

    0.126039

    0.126497

    0.125276

    0.126649

    0.125581

    0.126497

    0.126039

    0.125581

    0.126649

    0.125886

    0.125581

    0.125428

    0.126191

    0.125886

    0.125886

    0.126039

    V'FB

    VFB

    V

    time/s

    V/mV

    I8P8TOLT

    201.2108031.2118721.211872-1.2118720.358128

    401.2112611.2111091.211109-1.2111090.358891

    601.2101931.2106511.210651-1.2106510.359349

    1001.4093231.4096281.409628-1.4096280.160372

    1201.4106971.4110021.411002-1.4110020.158998

    1401.4110021.4106971.410697-1.4106970.159303

    1601.4117651.4116121.411612-1.4116120.158388

    1801.4110021.4105441.410544-1.4105440.159456

    2001.4119171.4119171.411917-1.4119170.158083

    2201.2504771.2504771.250477-1.2504770.319523

    2401.2506291.2509351.250935-1.2509350.319065

    2601.4110021.4103911.410391-1.4103910.159609

    2801.4096281.4110021.411002-1.4110020.158998

    3001.4097811.4096281.409628-1.4096280.160372

    3201.4099341.4103911.410391-1.4103910.159609

    3401.4093231.4096281.409628-1.4096280.160372

    3601.2672621.2669571.266957-1.2669570.303043

    3801.2657361.2657361.265736-1.2657360.304264

    4001.2652781.2654311.265431-1.2654310.304569

    4201.4094761.4094761.409476-1.4094760.160524

    4401.4106971.4103911.410391-1.4103910.159609

    4601.4110021.4103911.410391-1.4103910.159609

    4801.4106971.4110021.411002-1.4110020.158998

    5001.4111541.4113071.411307-1.4113070.158693

    5201.2816051.2816051.281605-1.2816050.288395

    5401.2799271.2800791.280079-1.2800790.289921

    5601.4108491.4116121.411612-1.4116120.158388

    5801.4122221.4125281.412528-1.4125280.157472

    6001.4128331.4134431.413443-1.4134430.156557

    6201.4128331.4131381.413138-1.4131380.156862

    6401.4139011.4134431.413443-1.4134430.156557

    6601.2956441.2950331.295033-1.2950330.274967

    6801.2939651.2939651.293965-1.2939650.276035

    7001.4135961.412681.41268-1.412680.15732

    7201.4142061.4139011.413901-1.4139010.156099

    7401.4154271.4148171.414817-1.4148170.155183

    7601.4163421.4157321.415732-1.4157320.154268

    7801.4157321.416191.41619-1.416190.15381

    8001.4169531.4164951.416495-1.4164950.153505

    8201.3099871.3099871.309987-1.3099870.260013

    8401.3073931.3081561.308156-1.3081560.261844

    8601.4163421.4151221.415122-1.4151220.154878

    8801.4177161.4183261.418326-1.4183260.151674

    9001.4178681.4184791.418479-1.4184790.151521

    9201.4187841.4195471.419547-1.4195470.150453

    9401.4196991.4193941.419394-1.4193940.150606

    9601.4198521.420311.42031-1.420310.14969

    9801.420311.420311.42031-1.420310.14969

    10001.420311.4207681.420768-1.4207680.149232

    10201.4210731.4207681.420768-1.4207680.149232

    10401.4213781.4218361.421836-1.4218360.148164

    10601.421531.421531.42153-1.421530.14847

    10801.4218361.4225991.422599-1.4225990.147401

    11001.4218361.4224461.422446-1.4224460.147554

    11201.4230561.4227511.422751-1.4227510.147249

    11401.4232091.4230561.423056-1.4230560.146944

    11601.4232091.4233621.423362-1.4233620.146638

    11801.4241251.4236671.423667-1.4236670.146333

    12001.4241251.4235141.423514-1.4235140.146486

    12201.424431.4248871.424887-1.4248870.145113

    12401.4245821.425041.42504-1.425040.14496

    12601.4254981.4258031.425803-1.4258030.144197

    12801.4258031.4259561.425956-1.4259560.144044

    13001.4262611.4262611.426261-1.4262610.143739

    13201.4262611.4262611.426261-1.4262610.143739

    13401.4264131.4264131.426413-1.4264130.143587

    13601.4277871.4268711.426871-1.4268710.143129

    13801.4264131.4270241.427024-1.4270240.142976

    14001.4276341.4268711.426871-1.4268710.143129

    14201.4276341.4271761.427176-1.4271760.142824

    14401.4279391.4282441.428244-1.4282440.141756

    14601.4283971.4279391.427939-1.4279390.142061

    14801.4280921.4283971.428397-1.4283970.141603

    15001.3598841.3600371.360037-1.3600370.209963

    15201.3580531.3577481.357748-1.3577480.212252

    15401.3565271.3562221.356222-1.3562220.213778

    15601.4277871.4271761.427176-1.4271760.142824

    15801.4287021.4288551.428855-1.4288550.141145

    16001.4303811.4302281.430228-1.4302280.139772

    16201.4312961.4317541.431754-1.4317540.138246

    16401.4322121.4320591.432059-1.4320590.137941

    16601.4329751.4319071.431907-1.4319070.138093

    16801.4334331.433281.43328-1.433280.13672

    17001.4329751.4329751.432975-1.4329750.137025

    17201.4335851.4334331.433433-1.4334330.136567

    17401.4343481.4341951.434195-1.4341950.135805

    17601.4354161.4349581.434958-1.4349580.135042

    17801.4351111.4349581.434958-1.4349580.135042

    18001.4346531.4349581.434958-1.4349580.135042

    18201.4355691.4352641.435264-1.4352640.134736

    18401.4363321.4364841.436484-1.4364840.133516

    18601.4363321.4363321.436332-1.4363320.133668

    18801.4372471.4363321.436332-1.4363320.133668

    19001.4370951.4369421.436942-1.4369420.133058

    19201.4369421.4372471.437247-1.4372470.132753

    19401.4375521.4375521.437552-1.4375520.132448

    19601.43741.4375521.437552-1.4375520.132448

    19801.4386211.4375521.437552-1.4375520.132448

    20001.4384681.4381631.438163-1.4381630.131837

    20201.4386211.438011.43801-1.438010.13199

    20401.4392311.4389261.438926-1.4389260.131074

    20601.4393841.4392311.439231-1.4392310.130769

    20801.4383151.4384681.438468-1.4384680.131532

    21001.4383151.4389261.438926-1.4389260.131074

    21201.4386211.4390781.439078-1.4390780.130922

    21401.4392311.4390781.439078-1.4390780.130922

    21601.4389261.4386211.438621-1.4386210.131379

    21801.4390781.4386211.438621-1.4386210.131379

    22001.4386211.4387731.438773-1.4387730.131227

    22201.4389261.4393841.439384-1.4393840.130616

    22401.4395361.4389261.438926-1.4389260.131074

    22601.4392311.4395361.439536-1.4395360.130464

    22801.4392311.4393841.439384-1.4393840.130616

    23001.3865871.3856721.385672-1.3856720.184328

    23201.3836881.3824671.382467-1.3824670.187533

    23401.4372471.4377051.437705-1.4377050.132295

    23601.4381631.4387731.438773-1.4387730.131227

    23801.4401461.4398411.439841-1.4398410.130159

    24001.4413671.4412151.441215-1.4412150.128785

    24201.4425881.4416721.441672-1.4416720.128328

    24401.4409091.4406041.440604-1.4406040.129396

    24601.4418251.4412151.441215-1.4412150.128785

    24801.4435031.4428931.442893-1.4428930.127107

    25001.4425881.4419781.441978-1.4419780.128022

    25201.4424351.4419781.441978-1.4419780.128022

    25401.4436561.4431981.443198-1.4431980.126802

    25601.4431981.4425881.442588-1.4425880.127412

    25801.4430461.4424351.442435-1.4424350.127565

    26001.4422831.4431981.443198-1.4431980.126802

    26201.4425881.4427411.442741-1.4427410.127259

    26401.4427411.4430461.443046-1.4430460.126954

    26601.4431981.4430461.443046-1.4430460.126954

    26801.4433511.4430461.443046-1.4430460.126954

    27001.4436561.4431981.443198-1.4431980.126802

    27201.4430461.4433511.443351-1.4433510.126649

    27401.4435031.4441141.444114-1.4441140.125886

    27601.4435031.4438091.443809-1.4438090.126191

    27801.4439611.4436561.443656-1.4436560.126344

    28001.4442661.4439611.443961-1.4439610.126039

    28201.4435031.4442661.444266-1.4442660.125734

    28401.4427411.4431981.443198-1.4431980.126802

    28601.4427411.4419781.441978-1.4419780.128022

    28801.442131.4419781.441978-1.4419780.128022

    29001.4431981.4425881.442588-1.4425880.127412

    29201.4441141.4431981.443198-1.4431980.126802

    29401.4435031.4439611.443961-1.4439610.126039

    29601.4438091.4433511.443351-1.4433510.126649

    29801.4431981.4430461.443046-1.4430460.126954

    30001.4424351.4424351.442435-1.4424350.127565

    30201.4425881.4427411.442741-1.4427410.127259

    30401.4422831.4422831.442283-1.4422830.127717

    30601.4424351.4422831.442283-1.4422830.127717

    30801.4435031.4436561.443656-1.4436560.126344

    31001.4436561.4439611.443961-1.4439610.126039

    31201.4436561.4436561.443656-1.4436560.126344

    31401.4436561.4425881.442588-1.4425880.127412

    31601.4425881.4427411.442741-1.4427410.127259

    31801.4424351.4425881.442588-1.4425880.127412

    32001.4427411.4427411.442741-1.4427410.127259

    32201.442131.442131.44213-1.442130.12787

    32401.4441141.4436561.443656-1.4436560.126344

    32601.4431981.4438091.443809-1.4438090.126191

    32801.4436561.4439611.443961-1.4439610.126039

    33001.4447241.4444191.444419-1.4444190.125581

    33201.4436561.4442661.444266-1.4442660.125734

    33401.4433511.4438091.443809-1.4438090.126191

    33601.4442661.4444191.444419-1.4444190.125581

    33801.4444191.4441141.444114-1.4441140.125886

    34001.4438091.4431981.443198-1.4431980.126802

    34201.4428931.4430461.443046-1.4430460.126954

    34401.4428931.4428931.442893-1.4428930.127107

    34601.4427411.4425881.442588-1.4425880.127412

    34801.4430461.4424351.442435-1.4424350.127565

    35001.4428931.4422831.442283-1.4422830.127717

    35201.4430461.4433511.443351-1.4433510.126649

    35401.4428931.4427411.442741-1.4427410.127259

    35601.4428931.4424351.442435-1.4424350.127565

    35801.4422831.4428931.442893-1.4428930.127107

    36001.4431981.4438091.443809-1.4438090.126191

    36201.4438091.4438091.443809-1.4438090.126191

    36401.4448771.4442661.444266-1.4442660.125734

    36601.4427411.4430461.443046-1.4430460.126954

    36801.4431981.4433511.443351-1.4433510.126649

    37001.4438091.4433511.443351-1.4433510.126649

    37201.4428931.4431981.443198-1.4431980.126802

    37401.4444191.4442661.444266-1.4442660.125734

    37601.4439611.4439611.443961-1.4439610.126039

    37801.4441141.4436561.443656-1.4436560.126344

    38001.4442661.4445721.444572-1.4445720.125428

    38201.4444191.4441141.444114-1.4441140.125886

    38401.4439611.4442661.444266-1.4442660.125734

    38601.4441141.4442661.444266-1.4442660.125734

    38801.4438091.4442661.444266-1.4442660.125734

    39001.4433511.4433511.443351-1.4433510.126649

    39201.4441141.4442661.444266-1.4442660.125734

    39401.4441141.4442661.444266-1.4442660.125734

    39601.4435031.4439611.443961-1.4439610.126039

    39801.4445721.4444191.444419-1.4444190.125581

    40001.4435031.4438091.443809-1.4438090.126191

    40201.4435031.4433511.443351-1.4433510.126649

    40401.4441141.4438091.443809-1.4438090.126191

    40601.4431981.4436561.443656-1.4436560.126344

    40801.4442661.4441141.444114-1.4441140.125886

    41001.4442661.4444191.444419-1.4444190.125581

    41201.4435031.4435031.443503-1.4435030.126497

    41401.4439611.4436561.443656-1.4436560.126344

    41601.4444191.4442661.444266-1.4442660.125734

    41801.4433511.4435031.443503-1.4435030.126497

    42001.4442661.4441141.444114-1.4441140.125886

    42201.4444191.4442661.444266-1.4442660.125734

    42401.4433511.4438091.443809-1.4438090.126191

    42601.4438091.4439611.443961-1.4439610.126039

    42801.4441141.4435031.443503-1.4435030.126497

    43001.4436561.4447241.444724-1.4447240.125276

    43201.4431981.4433511.443351-1.4433510.126649

    43401.4439611.4444191.444419-1.4444190.125581

    43601.4439611.4435031.443503-1.4435030.126497

    43801.4441141.4439611.443961-1.4439610.126039

    44001.4439611.4444191.444419-1.4444190.125581

    44201.4438091.4433511.443351-1.4433510.126649

    44401.4447241.4441141.444114-1.4441140.125886

    44601.4445721.4444191.444419-1.4444190.125581

    44801.4442661.4445721.444572-1.4445720.125428

    45001.4442661.4438091.443809-1.4438090.126191

    45201.4445721.4441141.444114-1.4441140.125886

    45401.4444191.4441141.444114-1.4441140.125886

    45601.4442661.4439611.443961-1.4439610.126039

    I8P8TOLT

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

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    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    id/s

    V/mV

    2.3x10-11 A/cm2

    3.9x10-12 A/cm2

  • Discharge by the tunnel currentV'FBV'V

    Diagram1

    127.918983

    127.308037

    126.392982

    126.088051

    127.308037

    118.916061

    117.085007

    116.321945

    116.168999

    117.237953

    116.017006

    115.559006

    116.017006

    117.389938

    117.085007

    116.168999

    117.237953

    117.695

    117.543007

    118.153

    118.611

    118.000053

    118.305946

    119.526054

    120.746994

    120.288994

    120.442055

    121.052048

    120.594048

    121.968056

    120.746994

    121.663002

    123.036049

    121.663002

    123.188995

    123.646042

    122.730995

    123.036049

    123.340988

    123.950981

    124.714043

    123.798988

    124.408981

    125.324989

    124.714043

    125.630043

    126.240036

    126.088051

    126.698044

    127.308037

    127.002975

    126.392982

    126.85099

    126.546051

    127.460983

    128.83403

    128.070969

    128.070969

    128.682037

    128.986984

    128.070969

    128.986984

    129.444977

    128.83403

    130.208038

    130.360031

    130.664963

    129.750031

    131.276031

    130.51297

    130.51297

    130.818039

    131.734039

    131.734039

    131.428024

    132.496979

    132.038971

    131.734039

    132.496979

    132.038971

    132.496979

    132.190964

    133.716965

    133.258957

    132.648972

    133.412033

    133.258957

    133.564972

    133.412033

    134.022018

    134.632965

    134.022018

    133.564972

    134.328033

    134.632965

    134.784958

    133.716965

    135.396027

    135.854034

    134.938019

    135.242966

    135.242966

    134.784958

    135.090973

    136.310959

    135.396027

    135.548019

    136.006027

    136.768967

    136.616013

    136.006027

    136.922028

    136.310959

    137.07402

    136.616013

    136.46402

    137.532013

    137.532013

    138.294952

    137.532013

    138.142014

    137.07402

    137.684967

    138.294952

    137.378952

    138.448029

    138.904953

    137.990021

    137.83696

    138.142014

    138.142014

    138.75296

    139.820953

    138.904953

    138.448029

    139.210007

    138.75296

    139.210007

    139.516022

    139.820953

    138.75296

    139.058014

    140.584015

    139.516022

    139.820953

    140.584015

    139.972946

    138.600021

    140.278961

    140.584015

    139.362961

    140.430954

    140.126007

    140.584015

    140.430954

    141.498947

    141.498947

    141.042023

    141.652008

    140.126007

    141.498947

    141.346954

    140.584015

    140.584015

    141.346954

    141.804962

    140.430954

    140.736008

    142.414948

    141.498947

    141.346954

    141.498947

    141.652008

    141.498947

    142.110016

    141.804962

    142.262009

    141.956955

    142.872955

    142.110016

    142.262009

    141.652008

    141.498947

    142.262009

    143.024948

    141.956955

    142.872955

    143.024948

    142.720001

    142.262009

    143.178009

    142.720001

    143.636017

    142.414948

    142.720001

    143.024948

    143.330002

    143.78801

    142.720001

    144.092941

    144.246002

    144.70401

    145.162018

    145.008942

    146.382004

    145.466949

    145.923996

    146.687057

    146.839996

    146.99295

    147.449997

    147.449997

    148.365997

    148.671051

    148.518951

    149.739044

    150.043991

    150.65506

    150.501984

    149.739044

    150.501984

    151.875046

    151.417999

    152.333038

    151.723053

    152.485992

    153.707047

    153.249054

    152.944

    154.469986

    154.775055

    155.079987

    155.537994

    155.689972

    155.689972

    155.689972

    156.911041

    156.911041

    156.911041

    157.215973

    157.521027

    159.199982

    159.047028

    159.047028

    159.351974

    159.351974

    160.267975

    161.031036

    160.421036

    161.031036

    161.183029

    162.861969

    162.251968

    163.167023

    163.625031

    163.167023

    165.151031

    165.151031

    165.913971

    165.455963

    166.677017

    166.371964

    167.135025

    167.287018

    167.287018

    169.271011

    167.745026

    168.813019

    169.729019

    169.575958

    170.643951

    170.797012

    170.33902

    171.865005

    172.169952

    173.391006

    173.542999

    174.459

    175.374054

    175.221939

    174.610992

    175.832062

    175.527008

    176.289948

    177.662994

    178.121002

    177.662994

    178.578995

    179.646988

    179.342056

    179.188995

    179.798981

    180.714996

    180.714996

    182.088043

    182.394058

    182.546051

    183.156036

    183.766983

    183.614044

    184.224991

    185.750992

    186.056046

    186.056046

    187.276031

    187.124039

    187.582047

    188.954971

    189.106964

    188.344986

    190.022964

    190.328033

    190.786026

    190.93898

    192.006973

    192.006973

    192.770035

    193.38002

    192.770035

    193.684967

    194.14296

    194.906021

    196.126968

    196.432022

    196.736954

    196.890015

    197.042007

    197.958023

    198.110016

    199.940948

    198.872955

    198.872955

    200.094009

    200.856949

    201.01001

    201.314957

    202.688004

    201.924942

    202.535065

    203.908951

    203.298004

    203.908951

    203.604004

    205.129059

    205.281998

    206.807999

    206.503052

    207.417984

    207.875992

    208.485992

    208.943985

    209.555054

    209.707047

    210.011978

    210.623047

    210.927994

    211.079987

    211.843033

    212.911987

    212.301041

    213.06398

    213.521988

    214.131973

    215.047974

    215.047974

    215.199966

    215.963028

    217.183975

    216.879028

    216.725967

    216.725967

    218.709976

    218.709976

    219.319962

    219.319962

    219.625977

    221.151016

    220.541031

    221.30397

    221.609024

    221.913956

    222.983032

    222.829956

    223.135025

    223.593018

    225.119019

    225.119019

    224.965958

    226.187012

    225.881958

    227.101944

    227.865005

    227.101944

    227.865005

    228.475952

    228.627945

    229.391006

    230.307007

    230.765015

    230.917007

    234.732056

    239.766983

    243.276978

    247.244019

    251.97496

    256.246948

    258.994019

    263.114014

    266.471039

    270.285034

    274.099976

    277.305023

    281.119019

    284.781952

    288.139008

    291.037933

    295.61499

    299.124969

    301.56604

    304.922974

    309.042969

    312.552948

    314.993988

    316.672943

    320.639984

    324.149994

    326.439056

    329.185028

    331.169037

    334.52597

    336.96701

    338.645966

    341.087006

    343.987

    347.496063

    349.174988

    351.462982

    354.362976

    356.346039

    358.330048

    360.924042

    362.90802

    365.348969

    366.570007

    369.926941

    371.91095

    373.436005

    376.488007

    378.777039

    380.30304

    382.743988

    385.79599

    386.407043

    388.085022

    390.527039

    392.357971

    394.189026

    396.477966

    398.155945

    400.445007

    401.665955

    404.412048

    404.71698

    407.922058

    408.532043

    410.97406

    412.346985

    415.094055

    415.856995

    417.230042

    419.366028

    420.892029

    422.41803

    424.248962

    425.622009

    426.384949

    427.91095

    429.436951

    431.420959

    432.488953

    433.862

    435.235992

    437.219055

    438.593048

    439.355042

    440.423981

    441.187042

    443.017975

    443.781036

    445.459045

    447.747986

    447.901031

    448.663025

    451.409973

    451.409973

    450.951965

    453.08902

    453.699005

    455.377014

    457.055939

    458.58194

    459.649933

    460.412994

    460.717957

    461.328064

    462.244049

    463.922058

    464.684998

    466.210999

    466.516998

    466.822052

    467.432037

    469.26297

    469.874054

    470.942047

    472.162048

    472.162048

    474.604034

    474.298981

    475.21402

    475.976959

    476.740021

    477.044952

    479.028961

    479.638947

    480.860016

    481.470001

    481.776031

    483.45401

    484.522003

    484.522003

    486.048004

    485.74295

    487.420929

    487.420929

    488.794952

    488.18399

    490.931061

    490.931061

    491.694

    491.845978

    492.457062

    493.525055

    494.593048

    494.89798

    494.89798

    496.272003

    496.577057

    497.491974

    498.103058

    498.865997

    499.017975

    499.171051

    501.307037

    501.001984

    500.697052

    501.459991

    502.527985

    502.833038

    503.901031

    504.511017

    504.817047

    505.579987

    504.969025

    506.189972

    506.495026

    506.799957

    508.021027

    509.08902

    509.393951

    509.699951

    509.851959

    510.615021

    511.531006

    512.293945

    512.445923

    512.751038

    513.208984

    513.666992

    514.429932

    513.513977

    514.125

    515.802979

    515.192993

    515.651001

    516.870972

    516.565918

    517.481934

    517.634033

    518.549927

    519.007935

    519.160034

    519.464966

    520.075928

    519.922974

    519.618042

    520.838989

    521.296021

    521.602051

    522.670044

    526.178955

    529.230957

    534.418945

    537.470947

    540.369995

    542.658936

    546.778931

    549.983032

    551.813965

    553.797974

    556.391968

    560.817017

    563.105957

    565.853027

    569.209961

    570.887939

    573.63501

    576.838989

    578.518005

    580.348999

    583.094971

    585.688965

    587.367981

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    600.643005

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    609.341003

    611.47699

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    614.987

    616.359985

    616.817993

    618.496033

    620.632996

    620.785034

    622.769043

    624.295044

    623.990051

    626.736023

    627.804016

    628.262024

    629.17804

    629.63501

    630.856018

    630.704041

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    632.992004

    632.535034

    632.535034

    633.298035

    634.213013

    635.129028

    636.960022

    637.112

    639.096008

    640.468994

    641.231995

    640.927002

    643.062988

    643.520996

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    646.572998

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    649.319946

    649.472046

    650.998047

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    651.30304

    652.371033

    653.592041

    655.575989

    655.270996

    655.728027

    656.949036

    657.712036

    658.322021

    658.932983

    659.54303

    660.000977

    660.611023

    661.374023

    662.594971

    662.594971

    663.51001

    664.578979

    664.883972

    665.646973

    666.10498

    665.799011

    666.409973

    667.172974

    667.019958

    667.172974

    667.019958

    668.393005

    668.240967

    668.698975

    670.376953

    670.529968

    670.529968

    670.376953

    670.682007

    670.376953

    669.156006

    669.919006

    670.376953

    669.766968

    669.919006

    670.223999

    669.766968

    669.461975

    669.766968

    670.376953

    669.30896

    669.30896

    670.682007

    669.613953

    669.30896

    669.919006

    669.003967

    669.30896

    669.766968

    669.919006

    670.529968

    670.07196

    671.75

    669.461975

    670.834961

    670.07196

    670.376953

    671.292969

    671.139954

    671.292969

    672.817993

    673.123962

    673.428955

    673.581055

    673.276001

    672.665955

    674.344055

    674.496948

    675.107056

    675.259949

    676.175049

    675.565002

    675.107056

    676.632996

    677.549011

    677.70105

    677.243958

    677.395996

    677.854004

    677.395996

    677.854004

    679.380005

    679.075012

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    679.075012

    680.143005

    680.295044

    679.98999

    678.921997

    679.98999

    679.22699

    678.312012

    light/dark

    0

    300

    600

    time/s

    V/mV

    F10P8KIC

    1127.918983

    2127.308037

    3126.392982

    4126.088051

    5127.308037

    6118.916061

    7117.085007

    8116.321945

    9116.168999

    10117.237953

    11116.017006

    12115.559006

    13116.017006

    14117.389938

    15117.085007

    16116.168999

    17117.237953

    18117.695

    19117.543007

    20118.153

    21118.611

    22118.000053

    23118.305946

    24119.526054

    25120.746994

    26120.288994

    27120.442055

    28121.052048

    29120.594048

    30121.968056

    31120.746994

    32121.663002

    33123.036049

    34121.663002

    35123.188995

    36123.646042

    37122.730995

    38123.036049

    39123.340988

    40123.950981

    41124.714043

    42123.798988

    43124.408981

    44125.324989

    45124.714043

    46125.630043

    47126.240036

    48126.088051

    49126.698044

    50127.308037

    51127.002975

    52126.392982

    53126.85099

    54126.546051

    55127.460983

    56128.83403

    57128.070969

    58128.070969

    59128.682037

    60128.986984

    61128.070969

    62128.986984

    63129.444977

    64128.83403

    65130.208038

    66130.360031

    67130.664963

    68129.750031

    69131.276031

    70130.51297

    71130.51297

    72130.818039

    73131.734039

    74131.734039

    75131.428024

    76132.496979

    77132.038971

    78131.734039

    79132.496979

    80132.038971

    81132.496979

    82132.190964

    83133.716965

    84133.258957

    85132.648972

    86133.412033

    87133.258957

    88133.564972

    89133.412033

    90134.022018

    91134.632965

    92134.022018

    93133.564972

    94134.328033

    95134.632965

    96134.784958

    97133.716965

    98135.396027

    99135.854034

    100134.938019

    101135.242966

    102135.242966

    103134.784958

    104135.090973

    105136.310959

    106135.396027

    107135.548019

    108136.006027

    109136.768967

    110136.616013

    111136.006027

    112136.922028

    113136.310959

    114137.07402

    115136.616013

    116136.46402

    117137.532013

    118137.532013

    119138.294952

    120137.532013

    121138.142014

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