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/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-462.696946
Energy at 298.15K-462.706764
Nuclear repulsion energy596.237570
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 3143 3098 0.00      
2 A 3128 3084 0.00      
3 A 3112 3068 0.00      
4 A 1616 1592 0.00      
5 A 1510 1489 0.00      
6 A 1284 1266 0.00      
7 A 1188 1171 0.00      
8 A 1038 1023 0.00      
9 A 990 976 0.00      
10 A 929 916 0.00      
11 A 829 817 0.00      
12 A 737 726 0.00      
13 A 406 401 0.00      
14 A 308 303 0.00      
15 A 72 71 0.00      
16 B1 3142 3097 42.22      
17 B1 3125 3080 22.90      
18 B1 3111 3067 9.41      
19 B1 1620 1597 10.81      
20 B1 1486 1464 26.48      
21 B1 1178 1161 0.71      
22 B1 1047 1032 3.28      
23 B1 1004 990 3.34      
24 B1 983 969 1.74      
25 B1 926 913 0.99      
26 B1 827 815 0.79      
27 B1 602 593 8.00      
28 B1 399 393 0.35      
29 B2 3134 3089 57.71      
30 B2 3119 3074 2.76      
31 B2 1584 1562 3.49      
32 B2 1435 1415 7.02      
33 B2 1362 1342 0.04      
34 B2 1292 1273 4.00      
35 B2 1160 1143 0.05      
36 B2 1085 1069 7.60      
37 B2 954 940 0.04      
38 B2 899 886 0.85      
39 B2 768 757 5.03      
40 B2 690 680 6.05      
41 B2 619 610 0.03      
42 B2 540 532 1.62      
43 B2 260 256 0.03      
44 B2 124 123 0.05      
45 B3 3132 3087 8.67      
46 B3 3116 3071 0.03      
47 B3 1599 1576 0.08      
48 B3 1461 1440 1.01      
49 B3 1360 1340 0.00      
50 B3 1313 1295 0.07      
51 B3 1159 1142 0.00      
52 B3 1087 1072 0.45      
53 B3 953 940 0.19      
54 B3 882 869 2.77      
55 B3 727 717 68.44      
56 B3 691 681 38.25      
57 B3 607 599 0.00      
58 B3 482 475 4.82      
59 B3 362 356 0.14      
60 B3 91 90 0.63      

Unscaled Zero Point Vibrational Energy (zpe) 38891.8 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 38335.7 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
0.09443 0.01810 0.01570

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 0.743
C2 0.000 0.000 -0.743
C3 -0.384 1.149 1.469
C4 0.384 -1.149 1.469
C5 -0.384 -1.149 -1.469
C6 0.384 1.149 -1.469
C7 -0.383 1.149 2.869
C8 0.383 -1.149 2.869
C9 -0.383 -1.149 -2.869
C10 0.383 1.149 -2.869
C11 0.000 0.000 3.576
C12 0.000 0.000 -3.576
H13 -0.713 2.041 0.926
H14 0.713 -2.041 0.926
H15 -0.713 -2.041 -0.926
H16 0.713 2.041 -0.926
H17 -0.694 2.049 3.411
H18 0.694 -2.049 3.411
H19 -0.694 -2.049 -3.411
H20 0.694 2.049 -3.411
H21 0.000 0.000 4.671
H22 0.000 0.000 -4.671

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
C11.48541.41211.41212.52162.52162.44722.44723.80953.80952.83334.31872.16952.16952.73082.73083.43473.43474.68294.68293.92825.4135
C21.48542.52162.52161.41211.41213.80953.80952.44722.44724.31872.83332.73082.73082.16952.16954.68294.68293.43473.43475.41353.9282
C31.41212.52162.42203.72963.03671.40002.79784.90904.40542.43025.18831.09513.41614.00202.78122.16253.89295.84235.07773.42326.2582
C41.41212.52162.42203.03673.72962.79781.40004.40544.90902.43025.18833.41611.09512.78124.00203.89292.16255.07775.84233.42326.2582
C52.52161.41213.72963.03672.42204.90904.40541.40002.79785.18832.43024.00202.78121.09513.41615.84235.07772.16253.89296.25823.4232
C62.52161.41213.03673.72962.42204.40544.90902.79781.40005.18832.43022.78124.00203.41611.09515.07775.84233.89292.16256.25823.4232
C72.44723.80951.40002.79784.90904.40542.42266.18125.78911.40256.55792.16323.89264.96844.04961.09523.41777.05406.43462.17117.6366
C82.44723.80952.79781.40004.40544.90902.42265.78916.18121.40256.55793.89262.16324.04964.96843.41771.09526.43467.05402.17117.6366
C93.80952.44724.90904.40541.40002.79786.18125.78912.42266.55791.40254.96844.04962.16323.89267.05406.43461.09523.41777.63662.1711
C103.80952.44724.40544.90902.79781.40005.78916.18122.42266.55791.40254.04964.96843.89262.16326.43467.05403.41771.09527.63662.1711
C112.83334.31872.43022.43025.18835.18831.40251.40256.55796.55797.15193.41993.41994.99404.99402.16952.16957.31387.31381.09498.2468
C124.31872.83335.18835.18832.43022.43026.55796.55791.40251.40257.15194.99404.99403.41993.41997.31387.31382.16952.16958.24681.0949
H132.16952.73081.09513.41614.00202.78122.16323.89264.96844.04963.41994.99404.32344.48182.33752.48484.98785.96084.55914.32415.9997
H142.16952.73083.41611.09512.78124.00203.89262.16324.04964.96843.41994.99404.32342.33754.48184.98782.48484.55915.96084.32415.9997
H152.73082.16954.00202.78121.09513.41614.96844.04962.16323.89264.99403.41994.48182.33754.32345.96084.55912.48484.98785.99974.3241
H162.73082.16952.78124.00203.41611.09514.04964.96843.89262.16324.99403.41992.33754.48184.32344.55915.96084.98782.48485.99974.3241
H173.43474.68292.16253.89295.84235.07771.09523.41777.05406.43462.16957.31382.48484.98785.96084.55914.32647.95766.96102.50358.3660
H183.43474.68293.89292.16255.07775.84233.41771.09526.43467.05402.16957.31384.98782.48484.55915.96084.32646.96107.95762.50358.3660
H194.68293.43475.84235.07772.16253.89297.05406.43461.09523.41777.31382.16955.96084.55912.48484.98787.95766.96104.32648.36602.5035
H204.68293.43475.07775.84233.89292.16256.43467.05403.41771.09527.31382.16954.55915.96084.98782.48486.96107.95764.32648.36602.5035
H213.92825.41353.42323.42326.25826.25822.17112.17117.63667.63661.09498.24684.32414.32415.99975.99972.50352.50358.36608.36609.3417
H225.41353.92826.25826.25823.42323.42327.63667.63662.17112.17118.24681.09495.99975.99974.32414.32418.36608.36602.50352.50359.3417

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.955 C1 C2 C6 120.955
C1 C3 C7 120.968 C1 C3 H13 119.288
C1 C4 C8 120.968 C1 C4 H14 119.288
C2 C1 C3 120.955 C2 C1 C4 120.955
C2 C5 C9 120.968 C2 C5 H15 119.288
C2 C6 C10 120.968 C2 C6 H16 119.288
C3 C1 C4 118.089 C3 C7 C11 120.255
C3 C7 H17 119.651 C4 C8 C11 120.255
C4 C8 H18 119.651 C5 C2 C6 118.089
C5 C9 C12 120.255 C5 C9 H19 119.651
C6 C10 C12 120.255 C6 C10 H20 119.651
C7 C3 H13 119.720 C7 C11 C8 119.465
C7 C11 H21 120.267 C8 C4 H14 119.720
C8 C11 H21 120.267 C9 C5 H15 119.720
C9 C12 C10 119.465 C9 C12 H22 120.267
C10 C6 H16 119.720 C10 C12 H22 120.267
C11 C7 H17 120.092 C11 C8 H18 120.092
C12 C9 H19 120.092 C12 C10 H20 120.092
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 0.082      
2 C 0.082      
3 C -0.176      
4 C -0.176      
5 C -0.176      
6 C -0.176      
7 C -0.145      
8 C -0.145      
9 C -0.145      
10 C -0.145      
11 C -0.134      
12 C -0.134      
13 H 0.139      
14 H 0.139      
15 H 0.139      
16 H 0.139      
17 H 0.139      
18 H 0.139      
19 H 0.139      
20 H 0.139      
21 H 0.138      
22 H 0.138      


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 -73.552 0.000 0.000
y 0.000 -62.331 0.000
z 0.000 0.000 -60.431
Traceless
 xyz
x -12.171 0.000 0.000
y 0.000 4.661 0.000
z 0.000 0.000 7.511
Polar
3z2-r215.021
x2-y2-11.221
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.552 0.000 0.000
y 0.000 18.268 0.000
z 0.000 0.000 29.660


<r2> (average value of r2) Å2
<r2> 651.707
(<r2>)1/2 25.529