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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3LYP/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 B3LYP/6-31G
 hartrees
Energy at 0K-463.204531
Energy at 298.15K-463.214922
Nuclear repulsion energy597.506508
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 B3LYP/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 3226 3104 0.00      
2 A 3210 3088 0.00      
3 A 3190 3068 0.00      
4 A 1661 1598 0.00      
5 A 1566 1507 0.00      
6 A 1326 1276 0.00      
7 A 1247 1199 0.00      
8 A 1070 1030 0.00      
9 A 1039 999 0.00      
10 A 1003 964 0.00      
11 A 881 848 0.00      
12 A 770 741 0.00      
13 A 431 415 0.00      
14 A 321 308 0.00      
15 A 71 68 0.00      
16 B1 3224 3102 43.12      
17 B1 3206 3084 41.12      
18 B1 3189 3068 8.75      
19 B1 1663 1600 11.53      
20 B1 1545 1486 35.49      
21 B1 1237 1190 0.69      
22 B1 1084 1043 2.24      
23 B1 1050 1010 5.09      
24 B1 1023 984 0.70      
25 B1 1001 963 0.73      
26 B1 881 847 0.54      
27 B1 643 618 6.84      
28 B1 424 408 0.27      
29 B2 3216 3094 64.41      
30 B2 3197 3076 8.30      
31 B2 1628 1566 4.90      
32 B2 1491 1434 8.36      
33 B2 1394 1341 1.49      
34 B2 1337 1286 2.67      
35 B2 1224 1177 0.05      
36 B2 1122 1080 6.02      
37 B2 1031 992 0.07      
38 B2 964 928 1.09      
39 B2 817 786 6.25      
40 B2 729 702 7.96      
41 B2 659 634 0.01      
42 B2 572 550 2.03      
43 B2 275 264 0.02      
44 B2 132 127 0.07      
45 B3 3213 3091 11.19      
46 B3 3195 3073 0.02      
47 B3 1642 1580 0.10      
48 B3 1518 1460 1.43      
49 B3 1394 1341 0.08      
50 B3 1360 1308 0.00      
51 B3 1223 1176 0.00      
52 B3 1130 1087 0.31      
53 B3 1030 991 0.33      
54 B3 946 910 3.94      
55 B3 772 743 86.01      
56 B3 731 704 49.40      
57 B3 646 621 0.01      
58 B3 509 490 5.80      
59 B3 382 367 0.20      
60 B3 97 94 0.68      

Unscaled Zero Point Vibrational Energy (zpe) 40377.9 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 38843.6 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 B3LYP/6-31G
ABC
0.09489 0.01814 0.01576

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 -0.389 1.145 1.468
C4 0.389 -1.145 1.468
C5 -0.389 -1.145 -1.468
C6 0.389 1.145 -1.468
C7 -0.388 1.145 2.865
C8 0.388 -1.145 2.865
C9 -0.388 -1.145 -2.865
C10 0.388 1.145 -2.865
C11 0.000 0.000 3.571
C12 0.000 0.000 -3.571
H13 -0.718 2.029 0.931
H14 0.718 -2.029 0.931
H15 -0.718 -2.029 -0.931
H16 0.718 2.029 -0.931
H17 -0.699 2.036 3.403
H18 0.699 -2.036 3.403
H19 -0.699 -2.036 -3.403
H20 0.699 2.036 -3.403
H21 0.000 0.000 4.656
H22 0.000 0.000 -4.656

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
C11.48741.40921.40922.52042.52042.44212.44213.80633.80632.82724.31472.16002.16002.72682.72683.42123.42124.67214.67213.91265.4001
C21.48742.52042.52041.40921.40923.80633.80632.44212.44214.31472.82722.72682.72682.16002.16004.67214.67213.42123.42125.40013.9126
C31.40922.52042.41773.72273.03721.39762.79284.90104.40252.42585.18181.08533.40333.99132.78612.15293.87845.82545.07003.41006.2424
C41.40922.52042.41773.03723.72272.79281.39764.40254.90102.42585.18183.40331.08532.78613.99133.87842.15295.07005.82543.41006.2424
C52.52041.40923.72273.03722.41774.90104.40251.39762.79285.18182.42583.99132.78611.08533.40335.82545.07002.15293.87846.24243.4100
C62.52041.40923.03723.72272.41774.40254.90102.79281.39765.18182.42582.78613.99133.40331.08535.07005.82543.87842.15296.24243.4100
C72.44213.80631.39762.79284.90104.40252.41806.17165.78331.39986.54902.15223.87784.95924.05191.08573.40397.03626.42422.16087.6184
C82.44213.80632.79281.39764.40254.90102.41805.78336.17161.39986.54903.87782.15224.05194.95923.40391.08576.42427.03622.16087.6184
C93.80632.44214.90104.40251.39762.79286.17165.78332.41806.54901.39984.95924.05192.15223.87787.03626.42421.08573.40397.61842.1608
C103.80632.44214.40254.90102.79281.39765.78336.17162.41806.54901.39984.05194.95923.87782.15226.42427.03623.40391.08577.61842.1608
C112.82724.31472.42582.42585.18185.18181.39981.39986.54906.54907.14193.40593.40594.98984.98982.15872.15877.29867.29861.08548.2273
C124.31472.82725.18185.18182.42582.42586.54906.54901.39981.39987.14194.98984.98983.40593.40597.29867.29862.15872.15878.22731.0854
H132.16002.72681.08533.40333.99132.78612.15223.87784.95924.05193.40594.98984.30384.46392.35172.47224.96355.94154.56004.30225.9874
H142.16002.72683.40331.08532.78613.99133.87782.15224.05194.95923.40594.98984.30382.35174.46394.96352.47224.56005.94154.30225.9874
H152.72682.16003.99132.78611.08533.40334.95924.05192.15223.87784.98983.40594.46392.35174.30385.94154.56002.47224.96355.98744.3022
H162.72682.16002.78613.99133.40331.08534.05194.95923.87782.15224.98983.40592.35174.46394.30384.56005.94154.96352.47225.98744.3022
H173.42124.67212.15293.87845.82545.07001.08573.40397.03626.42422.15877.29862.47224.96355.94154.56004.30447.93096.94842.49058.3419
H183.42124.67213.87842.15295.07005.82543.40391.08576.42427.03622.15877.29864.96352.47224.56005.94154.30446.94847.93092.49058.3419
H194.67213.42125.82545.07002.15293.87847.03626.42421.08573.40397.29862.15875.94154.56002.47224.96357.93096.94844.30448.34192.4905
H204.67213.42125.07005.82543.87842.15296.42427.03623.40391.08577.29862.15874.56005.94154.96352.47226.94847.93094.30448.34192.4905
H213.91265.40013.41003.41006.24246.24242.16082.16087.61847.61841.08548.22734.30224.30225.98745.98742.49052.49058.34198.34199.3127
H225.40013.91266.24246.24243.41003.41007.61847.61842.16082.16088.22731.08545.98745.98744.30224.30228.34198.34192.49052.49059.3127

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.923 C1 C2 C6 120.923
C1 C3 C7 120.928 C1 C3 H13 119.409
C1 C4 C8 120.928 C1 C4 H14 119.409
C2 C1 C3 120.923 C2 C1 C4 120.923
C2 C5 C9 120.928 C2 C5 H15 119.409
C2 C6 C10 120.928 C2 C6 H16 119.409
C3 C1 C4 118.154 C3 C7 C11 120.259
C3 C7 H17 119.688 C4 C8 C11 120.259
C4 C8 H18 119.688 C5 C2 C6 118.154
C5 C9 C12 120.259 C5 C9 H19 119.688
C6 C10 C12 120.259 C6 C10 H20 119.688
C7 C3 H13 119.644 C7 C11 C8 119.471
C7 C11 H21 120.264 C8 C4 H14 119.644
C8 C11 H21 120.264 C9 C5 H15 119.644
C9 C12 C10 119.471 C9 C12 H22 120.264
C10 C6 H16 119.644 C10 C12 H22 120.264
C11 C7 H17 120.050 C11 C8 H18 120.050
C12 C9 H19 120.050 C12 C10 H20 120.050
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.028      
2 C 0.028      
3 C -0.139      
4 C -0.139      
5 C -0.139      
6 C -0.139      
7 C -0.135      
8 C -0.135      
9 C -0.135      
10 C -0.135      
11 C -0.117      
12 C -0.117      
13 H 0.130      
14 H 0.130      
15 H 0.130      
16 H 0.130      
17 H 0.126      
18 H 0.126      
19 H 0.126      
20 H 0.126      
21 H 0.125      
22 H 0.125      


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 -74.055 0.000 0.000
y 0.000 -63.058 0.000
z 0.000 0.000 -61.435
Traceless
 xyz
x -11.809 0.000 0.000
y 0.000 4.687 0.000
z 0.000 0.000 7.122
Polar
3z2-r214.243
x2-y2-10.997
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.933 0.000 0.000
y 0.000 17.631 0.000
z 0.000 0.000 27.813


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000