Chem. J. Chinese Universities ›› 2014, Vol. 35 ›› Issue (8): 1739.doi: 10.7503/cjcu20140260
• Physical Chemistry • Previous Articles Next Articles
DING Kaining*(), LI Yulu, CHENG Peisi, ZHANG Yongfan
Received:
2014-03-25
Online:
2014-08-10
Published:
2014-06-16
Contact:
DING Kaining
E-mail:dknfzu@fzu.edu.cn
Supported by:
CLC Number:
TrendMD:
DING Kaining, LI Yulu, CHENG Peisi, ZHANG Yongfan. Theoretical Studies on the Reaction Mechanisms of Methoxy Group and Carbon Monoxide over the Surfaces of Pd(111)†[J]. Chem. J. Chinese Universities, 2014, 35(8): 1739.
Layer | Δd1-2(%) | Δd2-3(%) | Δd3-4 (%) | Esurf /(J·m-2) |
---|---|---|---|---|
3 | 0.33(0.44[ | -0.39(-0.32[ | 1.26(1.40[ | |
4 | 0.34 | -0.27 | 1.28 | |
5 | 0.31 | -0.31 | 1.30 | |
6 | 0.33 | -0.29 | 1.34 | |
7 | 0.41 | 0.30 | -0.33 | 1.32 |
Table 1 Calculated relaxation degree and surface energy of 3×3 Pd(111) surface with different layers
Layer | Δd1-2(%) | Δd2-3(%) | Δd3-4 (%) | Esurf /(J·m-2) |
---|---|---|---|---|
3 | 0.33(0.44[ | -0.39(-0.32[ | 1.26(1.40[ | |
4 | 0.34 | -0.27 | 1.28 | |
5 | 0.31 | -0.31 | 1.30 | |
6 | 0.33 | -0.29 | 1.34 | |
7 | 0.41 | 0.30 | -0.33 | 1.32 |
Layer | Eads(CO)/(kJ·mol-1) | Eads(H3CO)/( kJ·mol-1) | |||||||
---|---|---|---|---|---|---|---|---|---|
Top | Bridge | fcc | hcp | Top | Bridge | fcc | hcp | ||
3 | -159.41 | -144.87 | -204.18 | -201.67 | -180.33 | -211.71 | -218.82 | -197.48 | |
4 | -151.46 | -186.61 | -199.99 | -196.23 | -189.95 | -200.41 | -212.97 | -196.72 | |
5 | -161.08 | -173.22 | -187.02 | -144.78 | -196.14 | -210.04 | -215.06 | -196.42 | |
6 | -158.16 | -176.98 | -186.61 | -187.86 | -192.05 | -203.76 | -214.22 | -212.55 | |
7 | -155.64 | -187.02 | -196.23 | -192.88 | -195.68 | -205.43 | -216.31 | -210.87 |
Table 2 Adsorption energy of CO and CH3O over 3×3 Pd(111) surface with different layers
Layer | Eads(CO)/(kJ·mol-1) | Eads(H3CO)/( kJ·mol-1) | |||||||
---|---|---|---|---|---|---|---|---|---|
Top | Bridge | fcc | hcp | Top | Bridge | fcc | hcp | ||
3 | -159.41 | -144.87 | -204.18 | -201.67 | -180.33 | -211.71 | -218.82 | -197.48 | |
4 | -151.46 | -186.61 | -199.99 | -196.23 | -189.95 | -200.41 | -212.97 | -196.72 | |
5 | -161.08 | -173.22 | -187.02 | -144.78 | -196.14 | -210.04 | -215.06 | -196.42 | |
6 | -158.16 | -176.98 | -186.61 | -187.86 | -192.05 | -203.76 | -214.22 | -212.55 | |
7 | -155.64 | -187.02 | -196.23 | -192.88 | -195.68 | -205.43 | -216.31 | -210.87 |
Fig.2 Lateral views for CO adsorbed on Pd(111) surface with four balanced geometrical configurations (A) Top site; (B) bridge site; (C) fcc site; (D) hcp site.
Species | Eads/(kJ·mol-1) | Species | Eads/(kJ·mol-1) | ||||||
---|---|---|---|---|---|---|---|---|---|
Nt | Nb | Nf | Nh | Nt | Nb | Nf | Nh | ||
1×1 | -181.17 | -171.96 | -74.89 | -84.94 | Calcd.[ | -112.13 | -141.84 | -167.36 | |
2×2 | -178.66 | -177.82 | -79.08 | -86.19 | Calcd.[ | -131.38 | -174.47 | -194.14 | -191.21 |
3×3 | -159.41 | -144.87 | -204.18 | -201.67 | 4×4 | -181.60 | -158.16 | -184.51 | -182.00 |
Calcd.[ | -161.92 | -181.59 | -185.35 | -186.19 |
Table 3 Calculated adsorption energy of CO on 1×1, 2×2, 3×3, 4×4 Pd(111) surface
Species | Eads/(kJ·mol-1) | Species | Eads/(kJ·mol-1) | ||||||
---|---|---|---|---|---|---|---|---|---|
Nt | Nb | Nf | Nh | Nt | Nb | Nf | Nh | ||
1×1 | -181.17 | -171.96 | -74.89 | -84.94 | Calcd.[ | -112.13 | -141.84 | -167.36 | |
2×2 | -178.66 | -177.82 | -79.08 | -86.19 | Calcd.[ | -131.38 | -174.47 | -194.14 | -191.21 |
3×3 | -159.41 | -144.87 | -204.18 | -201.67 | 4×4 | -181.60 | -158.16 | -184.51 | -182.00 |
Calcd.[ | -161.92 | -181.59 | -185.35 | -186.19 |
Parameter | Nt | Nb | Nf | Nh | Free CO |
---|---|---|---|---|---|
dC—O/nm(This work) | 0.1153 | 0.1177 | 0.1187 | 0.1188 | 0.1141 |
dC—O/nm(Calcd.[ | 0.115 | 0.116 | 0.117 | 0.117 | 0.1128 |
dC—O/nm(Calcd.[ | 0.1152 | 0.1171 | 0.1183 | ||
dC—O/nm(Calcd.[ | 0.1152 | 0.1178 | 0.1189 | 0.1188 | 0.1146 |
dC—O/nm(Expt.[ | 0.1131 | ||||
dPd—C/nm(This work) | 0.1882 | 0.2018 | 0.209 | 0.209 | |
dPd—C/nm(Calcd.[ | 0.168 | 0.190 | 0.200 | 0.200 | |
dPd—C/nm(Calcd.[ | 0.1884 | 0.205 | 0.210 | ||
νC—O/cm-1(This work) | 2031 | 1850 | 1770 | 1769 | 2120 |
νC—O/cm-1(Calcd.[ | 1987 | 1876 | 1803 | ||
νC—O/cm-1(Calcd.[ | 2014 | 1848 | 1779 | 1781 | 2087 |
νC—O/cm-1(Expt.[ | 2138 |
Table 4 Geometry parameters and stretching vibration frequency of C—O for CO adsorbed on Pd(111) surface with four balance configurations
Parameter | Nt | Nb | Nf | Nh | Free CO |
---|---|---|---|---|---|
dC—O/nm(This work) | 0.1153 | 0.1177 | 0.1187 | 0.1188 | 0.1141 |
dC—O/nm(Calcd.[ | 0.115 | 0.116 | 0.117 | 0.117 | 0.1128 |
dC—O/nm(Calcd.[ | 0.1152 | 0.1171 | 0.1183 | ||
dC—O/nm(Calcd.[ | 0.1152 | 0.1178 | 0.1189 | 0.1188 | 0.1146 |
dC—O/nm(Expt.[ | 0.1131 | ||||
dPd—C/nm(This work) | 0.1882 | 0.2018 | 0.209 | 0.209 | |
dPd—C/nm(Calcd.[ | 0.168 | 0.190 | 0.200 | 0.200 | |
dPd—C/nm(Calcd.[ | 0.1884 | 0.205 | 0.210 | ||
νC—O/cm-1(This work) | 2031 | 1850 | 1770 | 1769 | 2120 |
νC—O/cm-1(Calcd.[ | 1987 | 1876 | 1803 | ||
νC—O/cm-1(Calcd.[ | 2014 | 1848 | 1779 | 1781 | 2087 |
νC—O/cm-1(Expt.[ | 2138 |
Species | Charge/e(Δe) | |||
---|---|---|---|---|
C | O | CO | Pd | |
Free | 0.101(0) | -0.101(0) | 0.000(0) | -0.261(0) |
Nh | 0.332(0.231) | -0.167(-0.066) | 0.165(0.165) | -0.453(-0.192) |
Nf | 0.341(0.240) | -0.123(-0.022) | 0.218(0.218) | -0.550(-0.289) |
Nb | 0.362(0.261) | -0.206(-0.105) | 0.156(0.156) | -0.414(-0.153) |
Nt | 0.414(0.313) | -0.267(-0.166) | 0.147(0.147) | -0.407(-0.146) |
Table 5 Mulliken charge distribution for the adsorption system of CO/Pd(111)
Species | Charge/e(Δe) | |||
---|---|---|---|---|
C | O | CO | Pd | |
Free | 0.101(0) | -0.101(0) | 0.000(0) | -0.261(0) |
Nh | 0.332(0.231) | -0.167(-0.066) | 0.165(0.165) | -0.453(-0.192) |
Nf | 0.341(0.240) | -0.123(-0.022) | 0.218(0.218) | -0.550(-0.289) |
Nb | 0.362(0.261) | -0.206(-0.105) | 0.156(0.156) | -0.414(-0.153) |
Nt | 0.414(0.313) | -0.267(-0.166) | 0.147(0.147) | -0.407(-0.146) |
Fig.3 Lateral views for CH3O adsorbed on Pd(111) surface with balanced geometrical configurations (A) Top site; (B) bridge site; (C) fcc site; (D) hcp site.
Parameter | dC—O/ nm | dC—H/ nm | ∠H—C—H/ (°) | ∠O—C—H/ (°) | dPd—O/ nm | νs(C—O)/ cm-1 | νs(C—H)/ cm-1 | νas(C—H)/ cm-1 |
---|---|---|---|---|---|---|---|---|
Lt | 0.1387 | 0.1113 | 106.4 | 113.5 | 0.2015 | 1007 | 2577 | 2787 |
Lb | 0.1426 | 0.1108 | 108.8 | 109.3 | 0.2151 | 989 | 2857 | 2975 |
Lf | 0.1428 | 0.1097 | 109.3 | 109.6 | 0.2193 | 986 | 2969 | 3046 |
Lh | 0.1425 | 0.1098 | 108.7 | 109.9 | 0.2230 | 995 | 2966 | 3040 |
This work | 0.1356 | 0.1107 | 105.0 | 114.4 | 1101 | 2837 | 2912 | |
Calcd.[ | 0.1405 | 0.1112 | 107.6 | 111.3 |
Table 6 Geometry parameters and stretching vibration frequency for CH3O adsorbed on Pd(111) surface with four balance configurations
Parameter | dC—O/ nm | dC—H/ nm | ∠H—C—H/ (°) | ∠O—C—H/ (°) | dPd—O/ nm | νs(C—O)/ cm-1 | νs(C—H)/ cm-1 | νas(C—H)/ cm-1 |
---|---|---|---|---|---|---|---|---|
Lt | 0.1387 | 0.1113 | 106.4 | 113.5 | 0.2015 | 1007 | 2577 | 2787 |
Lb | 0.1426 | 0.1108 | 108.8 | 109.3 | 0.2151 | 989 | 2857 | 2975 |
Lf | 0.1428 | 0.1097 | 109.3 | 109.6 | 0.2193 | 986 | 2969 | 3046 |
Lh | 0.1425 | 0.1098 | 108.7 | 109.9 | 0.2230 | 995 | 2966 | 3040 |
This work | 0.1356 | 0.1107 | 105.0 | 114.4 | 1101 | 2837 | 2912 | |
Calcd.[ | 0.1405 | 0.1112 | 107.6 | 111.3 |
Species | Charge/e(Δe) | |||
---|---|---|---|---|
C | O | CH3O | Pd | |
Free | 0.159(0) | -0.336(0) | 0.000(0) | -0.261(0) |
Lt | 0.050(-0.109) | -0.462(-0.126) | -0.156(-0.156) | -0.041(0.220) |
Lb | 0.055(-0.104) | -0.518(-0.182) | -0.199(-0.199) | 0.045(0.306) |
Lf | 0.077(-0.082) | -0.556(-0.220) | -0.223(-0.223) | 0.080(0.341) |
Lh | 0.079(-0.080) | -0.554(-0.218) | -0.204(-0.204) | 0.078(0.339) |
Table 7 Mulliken charge distribution for the adsorption system of CH3O/Pd(111) (translated from Pd to CH3O radical /e-)
Species | Charge/e(Δe) | |||
---|---|---|---|---|
C | O | CH3O | Pd | |
Free | 0.159(0) | -0.336(0) | 0.000(0) | -0.261(0) |
Lt | 0.050(-0.109) | -0.462(-0.126) | -0.156(-0.156) | -0.041(0.220) |
Lb | 0.055(-0.104) | -0.518(-0.182) | -0.199(-0.199) | 0.045(0.306) |
Lf | 0.077(-0.082) | -0.556(-0.220) | -0.223(-0.223) | 0.080(0.341) |
Lh | 0.079(-0.080) | -0.554(-0.218) | -0.204(-0.204) | 0.078(0.339) |
Fig.4 Schematic diagram of adsorbed CH3OOC formed by CH3O adsorbed on fcc site and CO on top site(A), bridge site(B)and fcc site(C) of Pd(111) surface Eabs is in kJ/mol, distances are in nm.
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