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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: PBEPBE/6-311G**

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/6-311G**
 hartrees
Energy at 0K-462.803353
Energy at 298.15K-462.813241
Nuclear repulsion energy597.309411
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/6-311G**
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 3127 3099 0.00      
2 A 3113 3085 0.00      
3 A 3097 3069 0.00      
4 A 1599 1585 0.00      
5 A 1492 1479 0.00      
6 A 1274 1262 0.00      
7 A 1173 1162 0.00      
8 A 1029 1020 0.00      
9 A 989 980 0.00      
10 A 940 931 0.00      
11 A 824 817 0.00      
12 A 736 730 0.00      
13 A 403 399 0.00      
14 A 306 303 0.00      
15 A 68 68 0.00      
16 B1 3127 3098 36.44      
17 B1 3110 3082 19.87      
18 B1 3096 3068 8.29      
19 B1 1604 1590 10.96      
20 B1 1467 1454 29.80      
21 B1 1165 1154 0.51      
22 B1 1039 1030 4.68      
23 B1 999 990 5.30      
24 B1 984 976 0.99      
25 B1 938 929 0.83      
26 B1 823 816 0.64      
27 B1 604 598 7.61      
28 B1 397 393 0.40      
29 B2 3119 3090 49.06      
30 B2 3104 3075 2.35      
31 B2 1568 1554 3.87      
32 B2 1420 1407 8.23      
33 B2 1344 1332 0.03      
34 B2 1277 1266 3.13      
35 B2 1148 1138 0.03      
36 B2 1074 1065 9.95      
37 B2 959 951 0.06      
38 B2 903 895 1.14      
39 B2 769 762 5.58      
40 B2 689 682 9.94      
41 B2 619 613 0.03      
42 B2 538 533 3.00      
43 B2 257 255 0.02      
44 B2 122 121 0.09      
45 B3 3117 3089 8.22      
46 B3 3101 3073 0.01      
47 B3 1584 1569 0.16      
48 B3 1444 1431 1.28      
49 B3 1341 1329 0.02      
50 B3 1302 1291 0.04      
51 B3 1148 1137 0.00      
52 B3 1077 1068 0.88      
53 B3 960 951 0.10      
54 B3 885 877 2.75      
55 B3 728 722 62.35      
56 B3 692 686 69.70      
57 B3 607 602 0.00      
58 B3 484 480 7.98      
59 B3 358 354 0.42      
60 B3 90 89 0.87      

Unscaled Zero Point Vibrational Energy (zpe) 38675.9 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 38323.9 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 PBEPBE/6-311G**
ABC
0.09478 0.01813 0.01579

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G**

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.742
C2 0.000 0.000 -0.742
C3 -0.404 1.140 1.466
C4 0.404 -1.140 1.466
C5 -0.404 -1.140 -1.466
C6 0.404 1.140 -1.466
C7 -0.404 1.140 2.864
C8 0.404 -1.140 2.864
C9 -0.404 -1.140 -2.864
C10 0.404 1.140 -2.864
C11 0.000 0.000 3.569
C12 0.000 0.000 -3.569
H13 -0.746 2.024 0.924
H14 0.746 -2.024 0.924
H15 -0.746 -2.024 -0.924
H16 0.746 2.024 -0.924
H17 -0.730 2.031 3.405
H18 0.730 -2.031 3.405
H19 -0.730 -2.031 -3.405
H20 0.730 2.031 -3.405
H21 0.000 0.000 4.661
H22 0.000 0.000 -4.661

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
C11.48491.40921.40922.51812.51812.44172.44173.80353.80352.82634.31122.16512.16512.72622.72623.42763.42764.67564.67563.91875.4036
C21.48492.51812.51811.40921.40923.80353.80352.44172.44174.31122.82632.72622.72622.16512.16514.67564.67563.42763.42765.40363.9187
C31.40922.51812.41803.71433.04211.39732.79274.89344.40492.42515.17831.09283.40983.98022.79642.15873.88545.82175.08063.41586.2458
C41.40922.51812.41803.04213.71432.79271.39734.40494.89342.42515.17833.40981.09282.79643.98023.88542.15875.08065.82173.41586.2458
C52.51811.40923.71433.04212.41804.89344.40491.39732.79275.17832.42513.98022.79641.09283.40985.82175.08062.15873.88546.24583.4158
C62.51811.40923.04213.71432.41804.40494.89342.79271.39735.17832.42512.79643.98023.40981.09285.08065.82173.88542.15876.24583.4158
C72.44173.80351.39732.79274.89344.40492.41806.16445.78421.39956.54522.15933.88524.94734.05621.09283.41047.03286.43272.16627.6215
C82.44173.80352.79271.39734.40494.89342.41805.78426.16441.39956.54523.88522.15934.05624.94733.41041.09286.43277.03282.16627.6215
C93.80352.44174.89344.40491.39732.79276.16445.78422.41806.54521.39954.94734.05622.15933.88527.03286.43271.09283.41047.62152.1662
C103.80352.44174.40494.89342.79271.39735.78426.16442.41806.54521.39954.05624.94733.88522.15936.43277.03283.41041.09287.62152.1662
C112.82634.31122.42512.42515.17835.17831.39951.39956.54526.54527.13753.41303.41304.98404.98402.16442.16447.30037.30031.09248.2299
C124.31122.82635.17835.17832.42512.42516.54526.54521.39951.39957.13754.98404.98403.41303.41307.30037.30032.16442.16448.22991.0924
H132.16512.72621.09283.40983.98022.79642.15933.88524.94734.05623.41304.98404.31494.45062.37542.48124.97805.93214.57394.31515.9875
H142.16512.72623.40981.09282.79643.98023.88522.15934.05624.94733.41304.98404.31492.37544.45064.97802.48124.57395.93214.31515.9875
H152.72622.16513.98022.79641.09283.40984.94734.05622.15933.88524.98403.41304.45062.37544.31495.93214.57392.48124.97805.98754.3151
H162.72622.16512.79643.98023.40981.09284.05624.94733.88522.15934.98403.41302.37544.45064.31494.57395.93214.97802.48125.98754.3151
H173.42764.67562.15873.88545.82175.08061.09283.41047.03286.43272.16447.30032.48124.97805.93214.57394.31647.92996.96502.49708.3501
H183.42764.67563.88542.15875.08065.82173.41041.09286.43277.03282.16447.30034.97802.48124.57395.93214.31646.96507.92992.49708.3501
H194.67563.42765.82175.08062.15873.88547.03286.43271.09283.41047.30032.16445.93214.57392.48124.97807.92996.96504.31648.35012.4970
H204.67563.42765.08065.82173.88542.15876.43277.03283.41041.09287.30032.16444.57395.93214.97802.48126.96507.92994.31648.35012.4970
H213.91875.40363.41583.41586.24586.24582.16622.16627.62157.62151.09248.22994.31514.31515.98755.98752.49702.49708.35018.35019.3224
H225.40363.91876.24586.24583.41583.41587.62157.62152.16622.16628.22991.09245.98755.98754.31514.31518.35018.35012.49702.49709.3224

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.916 C1 C2 C6 120.916
C1 C3 C7 120.917 C1 C3 H13 119.308
C1 C4 C8 120.917 C1 C4 H14 119.308
C2 C1 C3 120.916 C2 C1 C4 120.916
C2 C5 C9 120.917 C2 C5 H15 119.308
C2 C6 C10 120.917 C2 C6 H16 119.308
C3 C1 C4 118.168 C3 C7 C11 120.244
C3 C7 H17 119.701 C4 C8 C11 120.244
C4 C8 H18 119.701 C5 C2 C6 118.168
C5 C9 C12 120.244 C5 C9 H19 119.701
C6 C10 C12 120.244 C6 C10 H20 119.701
C7 C3 H13 119.755 C7 C11 C8 119.509
C7 C11 H21 120.245 C8 C4 H14 119.755
C8 C11 H21 120.245 C9 C5 H15 119.755
C9 C12 C10 119.509 C9 C12 H22 120.245
C10 C6 H16 119.755 C10 C12 H22 120.245
C11 C7 H17 120.052 C11 C8 H18 120.052
C12 C9 H19 120.052 C12 C10 H20 120.052
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.070      
2 C -0.070      
3 C -0.060      
4 C -0.060      
5 C -0.060      
6 C -0.060      
7 C -0.103      
8 C -0.103      
9 C -0.103      
10 C -0.103      
11 C -0.086      
12 C -0.086      
13 H 0.097      
14 H 0.097      
15 H 0.097      
16 H 0.097      
17 H 0.096      
18 H 0.096      
19 H 0.096      
20 H 0.096      
21 H 0.096      
22 H 0.096      


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 -75.040 0.000 0.000
y 0.000 -63.439 0.000
z 0.000 0.000 -61.607
Traceless
 xyz
x -12.517 0.000 0.000
y 0.000 4.885 0.000
z 0.000 0.000 7.632
Polar
3z2-r215.264
x2-y2-11.601
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.457 0.000 0.000
y 0.000 19.164 0.000
z 0.000 0.000 30.612


<r2> (average value of r2) Å2
<r2> 650.209
(<r2>)1/2 25.499