return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C12H10 (biphenyl)

using model chemistry: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-462.728709
Energy at 298.15K-462.738603
Nuclear repulsion energy595.332174
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/cc-pVDZ
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 3138 3119 0.00      
2 A 3123 3105 0.00      
3 A 3106 3088 0.00      
4 A 1609 1600 0.00      
5 A 1492 1484 0.00      
6 A 1277 1270 0.00      
7 A 1164 1157 0.00      
8 A 1030 1025 0.00      
9 A 985 980 0.00      
10 A 949 944 0.00      
11 A 829 824 0.00      
12 A 734 730 0.00      
13 A 403 401 0.00      
14 A 307 305 0.00      
15 A 66 66 0.00      
16 B1 3137 3119 31.93      
17 B1 3120 3102 18.06      
18 B1 3105 3087 8.26      
19 B1 1613 1604 10.45      
20 B1 1462 1454 25.82      
21 B1 1156 1149 0.70      
22 B1 1037 1031 4.47      
23 B1 1003 998 3.87      
24 B1 978 972 1.87      
25 B1 948 943 1.00      
26 B1 829 825 0.79      
27 B1 599 596 7.66      
28 B1 398 396 0.36      
29 B2 3129 3111 44.24      
30 B2 3113 3095 1.93      
31 B2 1576 1567 3.01      
32 B2 1419 1411 6.67      
33 B2 1357 1349 0.54      
34 B2 1268 1260 3.27      
35 B2 1137 1130 0.04      
36 B2 1072 1066 9.74      
37 B2 970 964 0.05      
38 B2 910 904 0.86      
39 B2 775 770 3.73      
40 B2 690 686 6.72      
41 B2 615 611 0.02      
42 B2 541 538 2.03      
43 B2 257 256 0.01      
44 B2 123 123 0.08      
45 B3 3127 3109 6.51      
46 B3 3111 3093 0.00      
47 B3 1592 1583 0.10      
48 B3 1441 1432 1.02      
49 B3 1362 1354 0.00      
50 B3 1287 1279 0.06      
51 B3 1136 1129 0.00      
52 B3 1073 1067 0.79      
53 B3 970 965 0.08      
54 B3 892 887 2.05      
55 B3 732 728 45.10      
56 B3 694 690 48.08      
57 B3 603 600 0.00      
58 B3 483 480 5.61      
59 B3 360 358 0.28      
60 B3 90 90 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 38752.6 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 38527.8 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/cc-pVDZ
ABC
0.09419 0.01804 0.01567

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.743
C2 0.000 0.000 -0.743
C3 -0.391 1.147 1.471
C4 0.391 -1.147 1.471
C5 -0.391 -1.147 -1.471
C6 0.391 1.147 -1.471
C7 -0.391 1.147 2.873
C8 0.391 -1.147 2.873
C9 -0.391 -1.147 -2.873
C10 0.391 1.147 -2.873
C11 0.000 0.000 3.581
C12 0.000 0.000 -3.581
H13 -0.726 2.043 0.927
H14 0.726 -2.043 0.927
H15 -0.726 -2.043 -0.927
H16 0.726 2.043 -0.927
H17 -0.709 2.049 3.417
H18 0.709 -2.049 3.417
H19 -0.709 -2.049 -3.417
H20 0.709 2.049 -3.417
H21 0.000 0.000 4.681
H22 0.000 0.000 -4.681

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
C11.48681.41381.41382.52462.52462.45032.45033.81403.81402.83744.32422.17562.17562.73682.73683.44233.44234.69154.69153.93725.4240
C21.48682.52462.52461.41381.41383.81403.81402.45032.45034.32422.83742.73682.73682.17562.17564.69154.69153.44233.44235.42403.9372
C31.41382.52462.42433.73133.04461.40162.80044.91284.41392.43315.19531.10003.42354.00482.79312.16813.90055.84915.09093.43076.2700
C41.41382.52462.42433.04463.73132.80041.40164.41394.91282.43315.19533.42351.10002.79314.00483.90052.16815.09095.84913.43076.2700
C52.52461.41383.73133.04462.42434.91284.41391.40162.80045.19532.43314.00482.79311.10003.42355.84915.09092.16813.90056.27003.4307
C62.52461.41383.04463.73132.42434.41394.91282.80041.40165.19532.43312.79314.00483.42351.10005.09095.84913.90052.16816.27003.4307
C72.45033.81401.40162.80044.91284.41392.42466.18695.79871.40396.56652.16793.90024.97264.06071.10013.42427.06266.44862.17667.6501
C82.45033.81402.80041.40164.41394.91282.42465.79876.18691.40396.56653.90022.16794.06074.97263.42421.10016.44867.06262.17667.6501
C93.81402.45034.91284.41391.40162.80046.18695.79872.42466.56651.40394.97264.06072.16793.90027.06266.44861.10013.42427.65012.1766
C103.81402.45034.41394.91282.80041.40165.79876.18692.42466.56651.40394.06074.97263.90022.16796.44867.06263.42421.10017.65012.1766
C112.83744.32422.43312.43315.19535.19531.40391.40396.56656.56657.16163.42673.42675.00205.00202.17462.17467.32607.32601.09988.2614
C124.32422.83745.19535.19532.43312.43316.56656.56651.40391.40397.16165.00205.00203.42673.42677.32607.32602.17462.17468.26141.0998
H132.17562.73681.10003.42354.00482.79312.16793.90024.97264.06073.42675.00204.33584.48622.35522.49005.00035.96764.57494.33476.0120
H142.17562.73683.42351.10002.79314.00483.90022.16794.06074.97263.42675.00204.33582.35524.48625.00032.49004.57495.96764.33476.0120
H152.73682.17564.00482.79311.10003.42354.97264.06072.16793.90025.00203.42674.48622.35524.33585.96764.57492.49005.00036.01204.3347
H162.73682.17562.79314.00483.42351.10004.06074.97263.90022.16795.00203.42672.35524.48624.33584.57495.96765.00032.49006.01204.3347
H173.44234.69152.16813.90055.84915.09091.10013.42427.06266.44862.17467.32602.49005.00035.96764.57494.33687.96866.97942.50988.3828
H183.44234.69153.90052.16815.09095.84913.42421.10016.44867.06262.17467.32605.00032.49004.57495.96764.33686.97947.96862.50988.3828
H194.69153.44235.84915.09092.16813.90057.06266.44861.10013.42427.32602.17465.96764.57492.49005.00037.96866.97944.33688.38282.5098
H204.69153.44235.09095.84913.90052.16816.44867.06263.42421.10017.32602.17464.57495.96765.00032.49006.97947.96864.33688.38282.5098
H213.93725.42403.43073.43076.27006.27002.17662.17667.65017.65011.09988.26144.33474.33476.01206.01202.50982.50988.38288.38289.3612
H225.42403.93726.27006.27003.43073.43077.65017.65012.17662.17668.26141.09986.01206.01204.33474.33478.38288.38282.50982.50989.3612

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.981 C1 C2 C6 120.981
C1 C3 C7 120.987 C1 C3 H13 119.347
C1 C4 C8 120.987 C1 C4 H14 119.347
C2 C1 C3 120.981 C2 C1 C4 120.981
C2 C5 C9 120.987 C2 C5 H15 119.347
C2 C6 C10 120.987 C2 C6 H16 119.347
C3 C1 C4 118.039 C3 C7 C11 120.279
C3 C7 H17 119.650 C4 C8 C11 120.279
C4 C8 H18 119.650 C5 C2 C6 118.039
C5 C9 C12 120.279 C5 C9 H19 119.650
C6 C10 C12 120.279 C6 C10 H20 119.650
C7 C3 H13 119.644 C7 C11 C8 119.430
C7 C11 H21 120.285 C8 C4 H14 119.644
C8 C11 H21 120.285 C9 C5 H15 119.644
C9 C12 C10 119.430 C9 C12 H22 120.285
C10 C6 H16 119.644 C10 C12 H22 120.285
C11 C7 H17 120.069 C11 C8 H18 120.069
C12 C9 H19 120.069 C12 C10 H20 120.069
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.023      
2 C 0.023      
3 C 0.004      
4 C 0.004      
5 C 0.004      
6 C 0.004      
7 C 0.031      
8 C 0.031      
9 C 0.031      
10 C 0.031      
11 C 0.024      
12 C 0.024      
13 H -0.029      
14 H -0.029      
15 H -0.029      
16 H -0.029      
17 H -0.019      
18 H -0.019      
19 H -0.019      
20 H -0.019      
21 H -0.021      
22 H -0.021      


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 -74.409 0.000 0.000
y 0.000 -63.614 0.000
z 0.000 0.000 -61.844
Traceless
 xyz
x -11.680 0.000 0.000
y 0.000 4.512 0.000
z 0.000 0.000 7.167
Polar
3z2-r214.335
x2-y2-10.795
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.521 0.000 0.000
y 0.000 19.213 0.000
z 0.000 0.000 30.839


<r2> (average value of r2) Å2
<r2> 654.220
(<r2>)1/2 25.578