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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: mPW1PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-457.597946
Energy at 298.15K-457.607614
Nuclear repulsion energy595.426288
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 mPW1PW91/STO-3G
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 3528 3101 0.00      
2 A 3515 3089 0.00      
3 A 3496 3073 0.00      
4 A 1782 1566 0.00      
5 A 1668 1466 0.00      
6 A 1398 1229 0.00      
7 A 1284 1128 0.00      
8 A 1127 991 0.00      
9 A 1076 945 0.00      
10 A 1059 931 0.00      
11 A 921 809 0.00      
12 A 796 699 0.00      
13 A 437 384 0.00      
14 A 326 287 0.00      
15 A 67 59 0.00      
16 B1 3527 3100 11.45      
17 B1 3513 3088 11.26      
18 B1 3496 3072 0.40      
19 B1 1784 1568 9.13      
20 B1 1634 1436 54.50      
21 B1 1274 1119 0.40      
22 B1 1139 1001 0.82      
23 B1 1094 962 0.36      
24 B1 1066 937 3.76      
25 B1 1058 930 0.72      
26 B1 919 808 0.38      
27 B1 649 570 6.69      
28 B1 430 378 0.19      
29 B2 3520 3094 22.94      
30 B2 3506 3082 0.57      
31 B2 1750 1538 3.76      
32 B2 1571 1381 23.16      
33 B2 1427 1254 2.48      
34 B2 1357 1193 1.15      
35 B2 1256 1104 0.04      
36 B2 1180 1037 0.26      
37 B2 1074 944 0.02      
38 B2 1002 880 0.04      
39 B2 841 739 2.07      
40 B2 753 662 2.04      
41 B2 666 585 0.00      
42 B2 580 510 0.71      
43 B2 278 244 0.01      
44 B2 134 117 0.06      
45 B3 3519 3093 2.13      
46 B3 3505 3081 0.02      
47 B3 1765 1552 0.02      
48 B3 1606 1412 2.85      
49 B3 1436 1262 0.04      
50 B3 1370 1204 0.00      
51 B3 1255 1103 0.00      
52 B3 1179 1036 0.01      
53 B3 1074 944 0.03      
54 B3 986 866 1.35      
55 B3 792 696 37.16      
56 B3 756 665 21.61      
57 B3 653 574 0.01      
58 B3 508 447 2.20      
59 B3 388 341 0.07      
60 B3 98 86 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 42922.5 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 37724.6 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 mPW1PW91/STO-3G
ABC
0.09432 0.01806 0.01558

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.753
C2 0.000 0.000 -0.753
C3 -0.350 1.160 1.477
C4 0.350 -1.160 1.477
C5 -0.350 -1.160 -1.477
C6 0.350 1.160 -1.477
C7 -0.352 1.159 2.877
C8 0.352 -1.159 2.877
C9 -0.352 -1.159 -2.877
C10 0.352 1.159 -2.877
C11 0.000 0.000 3.583
C12 0.000 0.000 -3.583
H13 -0.640 2.067 0.937
H14 0.640 -2.067 0.937
H15 -0.640 -2.067 -0.937
H16 0.640 2.067 -0.937
H17 -0.633 2.068 3.421
H18 0.633 -2.068 3.421
H19 -0.633 -2.068 -3.421
H20 0.633 2.068 -3.421
H21 0.000 0.000 4.678
H22 0.000 0.000 -4.678

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
C11.50531.41221.41222.53812.53812.44562.44563.82663.82662.82994.33512.17202.17202.74552.74553.43453.43454.70054.70053.92515.4304
C21.50532.53812.53811.41221.41223.82663.82662.44562.44564.33512.82992.74552.74552.17202.17204.70054.70053.43453.43455.43043.9251
C31.41222.53812.42433.75703.03641.39982.79904.93374.41052.42935.20291.09473.41934.04102.76252.16353.89445.87305.07753.42246.2732
C41.41222.53812.42433.03643.75702.79901.39984.41054.93372.42935.20293.41931.09472.76254.04103.89442.16355.07755.87303.42246.2732
C52.53811.41223.75703.03642.42434.93374.41051.39982.79905.20292.42934.04102.76251.09473.41935.87305.07752.16353.89446.27323.4224
C62.53811.41223.03643.75702.42434.41054.93372.79901.39985.20292.42932.76254.04103.41931.09475.07755.87303.89442.16356.27323.4224
C72.44563.82661.39982.79904.93374.41052.42336.20375.79691.40216.57222.16143.89365.00404.04401.09553.41787.08216.43882.17047.6513
C82.44563.82662.79901.39984.41054.93372.42335.79696.20371.40216.57223.89362.16144.04405.00403.41781.09556.43887.08212.17047.6513
C93.82662.44564.93374.41051.39982.79906.20375.79692.42336.57221.40215.00404.04402.16143.89367.08216.43881.09553.41787.65132.1704
C103.82662.44564.41054.93372.79901.39985.79696.20372.42336.57221.40214.04405.00403.89362.16146.43887.08213.41781.09557.65132.1704
C112.82994.33512.42932.42935.20295.20291.40211.40216.57226.57227.16503.41813.41815.01085.01082.16872.16877.32967.32961.09528.2603
C124.33512.82995.20295.20292.42932.42936.57226.57221.40211.40217.16505.01085.01083.41813.41817.32967.32962.16872.16878.26031.0952
H132.17202.74551.09473.41934.04102.76252.16143.89365.00404.04403.41815.01084.32834.53932.26952.48394.98916.00734.53994.32186.0172
H142.17202.74553.41931.09472.76254.04103.89362.16144.04405.00403.41815.01084.32832.26954.53934.98912.48394.53996.00734.32186.0172
H152.74552.17204.04102.76251.09473.41935.00404.04402.16143.89365.01083.41814.53932.26954.32836.00734.53992.48394.98916.01724.3218
H162.74552.17202.76254.04103.41931.09474.04405.00403.89362.16145.01083.41812.26954.53934.32834.53996.00734.98912.48396.01724.3218
H173.43454.70052.16353.89445.87305.07751.09553.41787.08216.43882.16877.32962.48394.98916.00734.53994.32537.99436.95782.50148.3823
H183.43454.70053.89442.16355.07755.87303.41781.09556.43887.08212.16877.32964.98912.48394.53996.00734.32536.95787.99432.50148.3823
H194.70053.43455.87305.07752.16353.89447.08216.43881.09553.41787.32962.16876.00734.53992.48394.98917.99436.95784.32538.38232.5014
H204.70053.43455.07755.87303.89442.16356.43887.08213.41781.09557.32962.16874.53996.00734.98912.48396.95787.99434.32538.38232.5014
H213.92515.43043.42243.42246.27326.27322.17042.17047.65137.65131.09528.26034.32184.32186.01726.01722.50142.50148.38238.38239.3555
H225.43043.92516.27326.27323.42243.42247.65137.65132.17042.17048.26031.09526.01726.01724.32184.32188.38238.38232.50142.50149.3555

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.869 C1 C2 C6 120.869
C1 C3 C7 120.847 C1 C3 H13 119.544
C1 C4 C8 120.847 C1 C4 H14 119.544
C2 C1 C3 120.869 C2 C1 C4 120.869
C2 C5 C9 120.847 C2 C5 H15 119.544
C2 C6 C10 120.847 C2 C6 H16 119.544
C3 C1 C4 118.261 C3 C7 C11 120.233
C3 C7 H17 119.736 C4 C8 C11 120.233
C4 C8 H18 119.736 C5 C2 C6 118.261
C5 C9 C12 120.233 C5 C9 H19 119.736
C6 C10 C12 120.233 C6 C10 H20 119.736
C7 C3 H13 119.601 C7 C11 C8 119.579
C7 C11 H21 120.211 C8 C4 H14 119.601
C8 C11 H21 120.211 C9 C5 H15 119.601
C9 C12 C10 119.579 C9 C12 H22 120.211
C10 C6 H16 119.601 C10 C12 H22 120.211
C11 C7 H17 120.031 C11 C8 H18 120.031
C12 C9 H19 120.031 C12 C10 H20 120.031
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.004      
2 C -0.004      
3 C -0.083      
4 C -0.083      
5 C -0.083      
6 C -0.083      
7 C -0.084      
8 C -0.084      
9 C -0.084      
10 C -0.084      
11 C -0.084      
12 C -0.084      
13 H 0.085      
14 H 0.085      
15 H 0.085      
16 H 0.085      
17 H 0.085      
18 H 0.085      
19 H 0.085      
20 H 0.085      
21 H 0.085      
22 H 0.085      


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 -67.652 0.000 0.000
y 0.000 -59.393 0.000
z 0.000 0.000 -58.793
Traceless
 xyz
x -8.560 0.000 0.000
y 0.000 3.830 0.000
z 0.000 0.000 4.730
Polar
3z2-r29.460
x2-y2-8.260
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.925 0.000 0.000
y 0.000 12.001 0.000
z 0.000 0.000 19.450


<r2> (average value of r2) Å2
<r2> 652.547
(<r2>)1/2 25.545