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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-462.608526
Energy at 298.15K-462.618597
Nuclear repulsion energy594.891261
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 PBEPBE/6-31G
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 3161 3117 0.00      
2 A 3142 3099 0.00      
3 A 3124 3081 0.00      
4 A 1616 1594 0.00      
5 A 1521 1500 0.00      
6 A 1298 1280 0.00      
7 A 1212 1195 0.00      
8 A 1045 1031 0.00      
9 A 1010 996 0.00      
10 A 959 946 0.00      
11 A 847 836 0.00      
12 A 750 739 0.00      
13 A 414 408 0.00      
14 A 313 309 0.00      
15 A 72 71 0.00      
16 B1 3159 3116 46.66      
17 B1 3139 3096 30.25      
18 B1 3123 3080 10.03      
19 B1 1620 1598 10.46      
20 B1 1497 1476 33.30      
21 B1 1202 1185 0.81      
22 B1 1057 1042 3.53      
23 B1 1017 1003 5.04      
24 B1 1001 987 0.25      
25 B1 958 944 0.93      
26 B1 847 835 0.79      
27 B1 621 613 6.84      
28 B1 407 401 0.28      
29 B2 3149 3105 66.48      
30 B2 3131 3088 2.64      
31 B2 1585 1563 4.23      
32 B2 1448 1428 8.28      
33 B2 1374 1355 0.01      
34 B2 1318 1299 4.68      
35 B2 1189 1172 0.03      
36 B2 1095 1080 7.58      
37 B2 987 973 0.04      
38 B2 924 911 0.99      
39 B2 788 777 5.87      
40 B2 704 695 7.92      
41 B2 637 629 0.01      
42 B2 552 544 2.08      
43 B2 264 260 0.03      
44 B2 127 125 0.06      
45 B3 3147 3103 9.83      
46 B3 3128 3085 0.03      
47 B3 1599 1576 0.07      
48 B3 1473 1453 1.29      
49 B3 1365 1346 0.00      
50 B3 1346 1327 0.08      
51 B3 1188 1171 0.00      
52 B3 1101 1086 0.37      
53 B3 986 972 0.24      
54 B3 906 893 3.69      
55 B3 744 734 82.52      
56 B3 707 697 58.56      
57 B3 625 616 0.01      
58 B3 490 484 6.23      
59 B3 370 365 0.28      
60 B3 93 92 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 39332.9 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 38790.1 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 PBEPBE/6-31G
ABC
0.09390 0.01803 0.01562

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

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.744
C2 0.000 0.000 -0.744
C3 -0.379 1.155 1.472
C4 0.379 -1.155 1.472
C5 -0.379 -1.155 -1.472
C6 0.379 1.155 -1.472
C7 -0.378 1.155 2.876
C8 0.378 -1.155 2.876
C9 -0.378 -1.155 -2.876
C10 0.378 1.155 -2.876
C11 0.000 0.000 3.584
C12 0.000 0.000 -3.584
H13 -0.703 2.047 0.929
H14 0.703 -2.047 0.929
H15 -0.703 -2.047 -0.929
H16 0.703 2.047 -0.929
H17 -0.682 2.055 3.418
H18 0.682 -2.055 3.418
H19 -0.682 -2.055 -3.418
H20 0.682 2.055 -3.418
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
C11.48811.41641.41642.52712.52712.45352.45353.81813.81812.84034.32842.17262.17262.73602.73603.44033.44034.69124.69123.93395.4220
C21.48812.52712.52711.41641.41643.81813.81812.45352.45354.32842.84032.73602.73602.17262.17264.69124.69123.44033.44035.42203.9339
C31.41642.52712.43033.74123.03951.40382.80644.92264.41272.43715.20001.09403.42314.01522.78062.16543.90045.85655.08353.42876.2686
C41.41642.52712.43033.03953.74122.80641.40384.41274.92262.43715.20003.42311.09402.78064.01523.90042.16545.08355.85653.42876.2686
C52.52711.41643.74123.03952.43034.92264.41271.40382.80645.20002.43714.01522.78061.09403.42315.85655.08352.16543.90046.26863.4287
C62.52711.41643.03953.74122.43034.41274.92262.80641.40385.20002.43712.78064.01523.42311.09405.08355.85653.90042.16546.26863.4287
C72.45353.81811.40382.80644.92264.41272.42996.19765.80061.40666.57322.16603.90014.98354.05481.09403.42337.07106.44502.17367.6506
C82.45353.81812.80641.40384.41274.92262.42995.80066.19761.40666.57323.90012.16604.05484.98353.42331.09406.44507.07102.17367.6506
C93.81812.45354.92264.41271.40382.80646.19765.80062.42996.57321.40664.98354.05482.16603.90017.07106.44501.09403.42337.65062.1736
C103.81812.45354.41274.92262.80641.40385.80066.19762.42996.57321.40664.05484.98353.90012.16606.44507.07103.42331.09407.65062.1736
C112.84034.32842.43712.43715.20005.20001.40661.40666.57326.57327.16863.42593.42595.00575.00572.17162.17167.32907.32901.09368.2623
C124.32842.84035.20005.20002.43712.43716.57326.57321.40661.40667.16865.00575.00573.42593.42597.32907.32902.17162.17168.26231.0936
H132.17262.73601.09403.42314.01522.78062.16603.90014.98354.05483.42595.00574.32954.49662.33042.48864.99415.97684.56214.32906.0104
H142.17262.73603.42311.09402.78064.01523.90012.16604.05484.98353.42595.00574.32952.33044.49664.99412.48864.56215.97684.32906.0104
H152.73602.17264.01522.78061.09403.42314.98354.05482.16603.90015.00573.42594.49662.33044.32955.97684.56212.48864.99416.01044.3290
H162.73602.17262.78064.01523.42311.09404.05484.98353.90012.16605.00573.42592.33044.49664.32954.56215.97684.99412.48866.01044.3290
H173.44034.69122.16543.90045.85655.08351.09403.42337.07106.44502.17167.32902.48864.99415.97684.56214.33047.97566.97002.50538.3801
H183.44034.69123.90042.16545.08355.85653.42331.09406.44507.07102.17167.32904.99412.48864.56215.97684.33046.97007.97562.50538.3801
H194.69123.44035.85655.08352.16543.90047.07106.44501.09403.42337.32902.17165.97684.56212.48864.99417.97566.97004.33048.38012.5053
H204.69123.44035.08355.85653.90042.16546.44507.07103.42331.09407.32902.17164.56215.97684.99412.48866.97007.97564.33048.38012.5053
H213.93395.42203.42873.42876.26866.26862.17362.17367.65067.65061.09368.26234.32904.32906.01046.01042.50532.50538.38018.38019.3559
H225.42203.93396.26866.26863.42873.42877.65067.65062.17362.17368.26231.09366.01046.01044.32904.32908.38018.38012.50532.50539.3559

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.917 C1 C2 C6 120.917
C1 C3 C7 120.910 C1 C3 H13 119.320
C1 C4 C8 120.910 C1 C4 H14 119.320
C2 C1 C3 120.917 C2 C1 C4 120.917
C2 C5 C9 120.910 C2 C5 H15 119.320
C2 C6 C10 120.910 C2 C6 H16 119.320
C3 C1 C4 118.167 C3 C7 C11 120.262
C3 C7 H17 119.691 C4 C8 C11 120.262
C4 C8 H18 119.691 C5 C2 C6 118.167
C5 C9 C12 120.262 C5 C9 H19 119.691
C6 C10 C12 120.262 C6 C10 H20 119.691
C7 C3 H13 119.747 C7 C11 C8 119.488
C7 C11 H21 120.256 C8 C4 H14 119.747
C8 C11 H21 120.256 C9 C5 H15 119.747
C9 C12 C10 119.488 C9 C12 H22 120.256
C10 C6 H16 119.747 C10 C12 H22 120.256
C11 C7 H17 120.043 C11 C8 H18 120.043
C12 C9 H19 120.043 C12 C10 H20 120.043
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.018      
2 C 0.018      
3 C -0.141      
4 C -0.141      
5 C -0.141      
6 C -0.141      
7 C -0.149      
8 C -0.149      
9 C -0.149      
10 C -0.149      
11 C -0.126      
12 C -0.126      
13 H 0.139      
14 H 0.139      
15 H 0.139      
16 H 0.139      
17 H 0.137      
18 H 0.137      
19 H 0.137      
20 H 0.137      
21 H 0.136      
22 H 0.136      


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 -74.219 0.000 0.000
y 0.000 -62.533 0.000
z 0.000 0.000 -60.758
Traceless
 xyz
x -12.574 0.000 0.000
y 0.000 4.956 0.000
z 0.000 0.000 7.618
Polar
3z2-r215.236
x2-y2-11.686
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.008 0.000 0.000
y 0.000 18.088 0.000
z 0.000 0.000 29.225


<r2> (average value of r2) Å2
<r2> 654.676
(<r2>)1/2 25.587