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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-463.155825
Energy at 298.15K-463.165969
Nuclear repulsion energy599.214899
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3PW91/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3220 3091 0.00      
2 A 3206 3078 0.00      
3 A 3189 3062 0.00      
4 A 1664 1598 0.00      
5 A 1547 1485 0.00      
6 A 1315 1262 0.00      
7 A 1210 1162 0.00      
8 A 1059 1017 0.00      
9 A 1015 975 0.00      
10 A 984 945 0.00      
11 A 858 824 0.00      
12 A 755 725 0.00      
13 A 419 402 0.00      
14 A 312 300 0.00      
15 A 68 65 0.00      
16 B1 3219 3090 32.44      
17 B1 3203 3075 19.51      
18 B1 3189 3061 7.92      
19 B1 1664 1597 14.20      
20 B1 1519 1459 29.08      
21 B1 1203 1155 0.44      
22 B1 1072 1029 4.96      
23 B1 1027 986 6.56      
24 B1 1010 970 1.28      
25 B1 983 944 0.70      
26 B1 858 824 0.39      
27 B1 618 594 7.23      
28 B1 412 395 0.38      
29 B2 3211 3083 44.97      
30 B2 3196 3068 2.29      
31 B2 1628 1563 3.11      
32 B2 1467 1408 7.61      
33 B2 1377 1322 0.08      
34 B2 1315 1263 2.24      
35 B2 1183 1136 0.01      
36 B2 1107 1062 10.21      
37 B2 1001 961 0.01      
38 B2 939 902 1.05      
39 B2 793 761 8.64      
40 B2 710 681 11.64      
41 B2 634 609 0.05      
42 B2 555 533 3.28      
43 B2 268 257 0.03      
44 B2 123 118 0.12      
45 B3 3209 3081 8.06      
46 B3 3193 3066 0.00      
47 B3 1644 1579 0.16      
48 B3 1493 1434 1.25      
49 B3 1369 1314 0.04      
50 B3 1347 1293 0.04      
51 B3 1183 1135 0.00      
52 B3 1110 1066 1.01      
53 B3 1001 962 0.05      
54 B3 923 886 2.17      
55 B3 751 721 92.84      
56 B3 711 683 57.59      
57 B3 623 598 0.00      
58 B3 501 481 8.33      
59 B3 365 350 0.34      
60 B3 94 90 0.94      

Unscaled Zero Point Vibrational Energy (zpe) 39909.3 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 38316.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-31+G**
ABC
0.09547 0.01820 0.01591

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.741
C2 0.000 0.000 -0.741
C3 -0.421 1.129 1.462
C4 0.421 -1.129 1.462
C5 -0.421 -1.129 -1.462
C6 0.421 1.129 -1.462
C7 -0.420 1.129 2.856
C8 0.420 -1.129 2.856
C9 -0.420 -1.129 -2.856
C10 0.420 1.129 -2.856
C11 0.000 0.000 3.559
C12 0.000 0.000 -3.559
H13 -0.776 2.004 0.924
H14 0.776 -2.004 0.924
H15 -0.776 -2.004 -0.924
H16 0.776 2.004 -0.924
H17 -0.759 2.011 3.393
H18 0.759 -2.011 3.393
H19 -0.759 -2.011 -3.393
H20 0.759 2.011 -3.393
H21 0.000 0.000 4.645
H22 0.000 0.000 -4.645

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22
C11.48281.40361.40362.51122.51122.43342.43343.79343.79342.81744.30022.15622.15622.71832.71833.41353.41354.65994.65993.90385.3867
C21.48282.51122.51121.40361.40363.79343.79342.43342.43344.30022.81742.71832.71832.15622.15624.65994.65993.41353.41355.38673.9038
C31.40362.51122.40903.69393.04281.39352.78354.87234.39872.41815.16331.08683.39593.95332.80882.14993.87025.79175.07373.40356.2249
C41.40362.51122.40903.04283.69392.78351.39354.39874.87232.41815.16333.39591.08682.80883.95333.87022.14995.07375.79173.40356.2249
C52.51121.40363.69393.04282.40904.87234.39871.39352.78355.16332.41813.95332.80881.08683.39595.79175.07372.14993.87026.22493.4035
C62.51121.40363.04283.69392.40904.39874.87232.78351.39355.16332.41812.80883.95333.39591.08685.07375.79173.87022.14996.22493.4035
C72.43343.79341.39352.78354.87234.39872.41016.14155.77261.39526.52652.14993.87004.92194.05931.08683.39737.00166.41982.15767.5970
C82.43343.79342.78351.39354.39874.87232.41015.77266.14151.39526.52653.87002.14994.05934.92193.39731.08686.41987.00162.15767.5970
C93.79342.43344.87234.39871.39352.78356.14155.77262.41016.52651.39524.92194.05932.14993.87007.00166.41981.08683.39737.59702.1576
C103.79342.43344.39874.87232.78351.39355.77266.14152.41016.52651.39524.05934.92193.87002.14996.41987.00163.39731.08687.59702.1576
C112.81744.30022.41812.41815.16335.16331.39521.39526.52656.52657.11763.39983.39984.97094.97092.15592.15597.27667.27661.08658.2040
C124.30022.81745.16335.16332.41812.41816.52656.52651.39521.39527.11764.97094.97093.39983.39987.27667.27662.15592.15598.20401.0865
H132.15622.71831.08683.39593.95332.80882.14993.87004.92194.05933.39984.97094.29704.41272.41242.46944.95685.89534.58154.29715.9691
H142.15622.71833.39591.08682.80883.95333.87002.14994.05934.92193.39984.97094.29702.41244.41274.95682.46944.58155.89534.29715.9691
H152.71832.15623.95332.80881.08683.39594.92194.05932.14993.87004.97093.39984.41272.41244.29705.89534.58152.46944.95685.96914.2971
H162.71832.15622.80883.95333.39591.08684.05934.92193.87002.14994.97093.39982.41244.41274.29704.58155.89534.95682.46945.96914.2971
H173.41354.65992.14993.87025.79175.07371.08683.39737.00166.41982.15597.27662.46944.95685.89534.58154.29907.88876.95392.48768.3208
H183.41354.65993.87022.14995.07375.79173.39731.08686.41987.00162.15597.27664.95682.46944.58155.89534.29906.95397.88872.48768.3208
H194.65993.41355.79175.07372.14993.87027.00166.41981.08683.39737.27662.15595.89534.58152.46944.95687.88876.95394.29908.32082.4876
H204.65993.41355.07375.79173.87022.14996.41987.00163.39731.08687.27662.15594.58155.89534.95682.46946.95397.88874.29908.32082.4876
H213.90385.38673.40353.40356.22496.22492.15762.15767.59707.59701.08658.20404.29714.29715.96915.96912.48762.48768.32088.32089.2905
H225.38673.90386.22496.22493.40353.40357.59707.59702.15762.15768.20401.08655.96915.96914.29714.29718.32088.32082.48762.48769.2905

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.890 C1 C2 C6 120.890
C1 C3 C7 120.911 C1 C3 H13 119.408
C1 C4 C8 120.911 C1 C4 H14 119.408
C2 C1 C3 120.890 C2 C1 C4 120.890
C2 C5 C9 120.911 C2 C5 H15 119.408
C2 C6 C10 120.911 C2 C6 H16 119.408
C3 C1 C4 118.220 C3 C7 C11 120.247
C3 C7 H17 119.670 C4 C8 C11 120.247
C4 C8 H18 119.670 C5 C2 C6 118.220
C5 C9 C12 120.247 C5 C9 H19 119.670
C6 C10 C12 120.247 C6 C10 H20 119.670
C7 C3 H13 119.662 C7 C11 C8 119.464
C7 C11 H21 120.268 C8 C4 H14 119.662
C8 C11 H21 120.268 C9 C5 H15 119.662
C9 C12 C10 119.464 C9 C12 H22 120.268
C10 C6 H16 119.662 C10 C12 H22 120.268
C11 C7 H17 120.080 C11 C8 H18 120.080
C12 C9 H19 120.080 C12 C10 H20 120.080
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.519      
2 C 0.519      
3 C -0.189      
4 C -0.189      
5 C -0.189      
6 C -0.189      
7 C -0.375      
8 C -0.375      
9 C -0.375      
10 C -0.375      
11 C -0.131      
12 C -0.131      
13 H 0.144      
14 H 0.144      
15 H 0.144      
16 H 0.144      
17 H 0.151      
18 H 0.151      
19 H 0.151      
20 H 0.151      
21 H 0.150      
22 H 0.150      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -75.305 0.000 0.000
y 0.000 -63.397 0.000
z 0.000 0.000 -61.629
Traceless
 xyz
x -12.792 0.000 0.000
y 0.000 5.070 0.000
z 0.000 0.000 7.722
Polar
3z2-r215.444
x2-y2-11.908
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.087 0.000 0.000
y 0.000 19.763 0.000
z 0.000 0.000 30.149


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000