supporting information molecular reactivity dynamics in a ... · a and pratim kumar chattaraj* a...
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![Page 1: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/1.jpg)
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Revised Manuscript ID: CP-ART-10-2012-043511
Supporting information
Molecular Reactivity Dynamics in a Confined Environment
Munmun Khatuaa and Pratim Kumar Chattaraj*
a
aDepartment of Chemistry and Center for Theoretical Studies,
Indian Institute of Technology Kharagpur,
Kharagpur 721302, West Bengal, India.
*Author for correspondence: email : [email protected]
GS
ES
Figure S1: Time evolution of chemical hardness (η) during a collision process between H+ and
N2 molecule in ground state (GS) and excited state (ES) in a confined environment (length of
cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 2: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/2.jpg)
2
GS
ES
Figure S2: Time evolution of polarizability (α) during a collision process between H+ and N2
molecule in ground state (GS) and excited state (ES) in a confined environment (length of
cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 3: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/3.jpg)
3
GS
ES
Figure S3: Plots of ηmax vs. length of cylinder and αmin vs. length of cylinder during a collision
process between H+ and N2 molecule in GS and ES.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 4: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/4.jpg)
4
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S4: Time evolution of chemical hardness (η) when N2 molecule in ground state (GS) and
first excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 5: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/5.jpg)
5
ε0=0.01 ε0=100
GS
ES
Figure S5: Plot of η(t = 2) vs. length of cylinder when N2 molecule in GS and in first ES is
placed in an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 6: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/6.jpg)
6
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S6: Time evolution of polarizability (α) when N2 molecule in ground state (GS) and first
excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 7: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/7.jpg)
7
ε0=0.01 ε0=100
GS
ES
Figure S7: Plot of αmin vs. length of cylinder when N2 molecule in GS and in first ES is placed in
an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 8: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/8.jpg)
8
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S8: Time evolution of chemical potential (µ) when N2 molecule in ground state (GS) and
first excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 9: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/9.jpg)
9
ε0=0.01 ε0=100
GS
ES
Figure S9: Plot of µ(t = 2) vs. length of cylinder and µ(amp) vs. length of cylinder when N2 molecule in GS and in first ES is placed in
an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 10: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/10.jpg)
10
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S10: Time evolution of electrophilicity index (ω) when N2 molecule in ground state (GS)
and first excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 11: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/11.jpg)
11
ε0=0.01 ε0=100
GS
ES
Figure S11: Plot of ω(t = 2) vs. length of cylinder and ω(amp) vs. length of cylinder when N2 molecule in GS and in first ES is placed
in an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 12: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/12.jpg)
12
GS
O side
attack
C side
attack
ES.
O side
attack
C side
attack
Figure S12: Time evolution of chemical hardness (η) during a collision process between H+ and
CO molecule in ground state (GS) and excited state (ES) in a confined environment (length of
cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 13: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/13.jpg)
13
GS
O side
attack
C side
attack
ES.
O side
attack
C side
attack
Figure S13: Time evolution of polarizability (α) during a collision process between H+ and CO
molecule in ground state (GS) and excited state (ES) in a confined environment (length of
cylinder = 6.0a.u. denotes unconfined system in GS and 7.2a.u. in ES).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 14: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/14.jpg)
14
O side attack C side attack
GS
ES
Figure S14: Plots of ηmax vs. length of cylinder and αmin vs. length of cylinder during a collision process between H+ and CO molecule
in GS and ES.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 15: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/15.jpg)
15
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S15: Time evolution of chemical hardness (η) when CO molecule in ground state (GS)
and excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 16: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/16.jpg)
16
ε0=0.01 ε0=100
GS
ES
Figure S16: Plot of η(t = 2) vs. length of cylinder when CO molecule in GS and ES is placed in
an external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 17: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/17.jpg)
17
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S17: Time evolution of polarizability (α) when CO molecule in ground state (GS) and
excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 18: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/18.jpg)
18
ε0=0.01 ε0=100
GS
ES
Figure S18: Plot of αmin vs. length of cylinder when CO molecule in GS and ES is placed in an
external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 19: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/19.jpg)
19
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S19: Time evolution of chemical potential (µ) when CO molecule in ground state (GS)
and excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 20: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/20.jpg)
20
ε0=0.01 ε0=100
GS
ES
Figure S20: Plot of µ(t = 2) vs. length of cylinder and µ(amp) vs. length of cylinder when CO molecule in GS and ES is placed in an
external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 21: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/21.jpg)
21
GS
ε0=0.01
ε0=100
ES.
ε0=0.01
ε0=100
Figure S21: Time evolution of electrophilicity index (ω) when CO molecule in ground state (GS)
and excited state (ES) is placed in an external field of amplitude ε0 = 0.01a.u. & 100a.u. and
frequency ω0 = π.
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013
![Page 22: Supporting information Molecular Reactivity Dynamics in a ... · a and Pratim Kumar Chattaraj* a aDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology](https://reader034.vdocuments.site/reader034/viewer/2022051322/60299b7dd1748a3165615d2a/html5/thumbnails/22.jpg)
22
ε0=0.01 ε0=100
GS
ES
Figure S22: Plot of ω(t = 2) vs. length of cylinder and ω(amp) vs. length of cylinder when CO molecule in GS and ES is placed in an
external field (ε0 = 0.01a.u. & 100a.u. and ω0 = π).
Electronic Supplementary Material (ESI) for Physical Chemistry Chemical PhysicsThis journal is © The Owner Societies 2013