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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: B3LYPultrafine/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-157.227986
Energy at 298.15K-157.237078
HF Energy-157.227986
Nuclear repulsion energy126.453318
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 B3LYPultrafine/aug-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 A1 3088 2996 0.00      
2 A1 3058 2968 0.00      
3 A1 1511 1466 0.00      
4 A1 1166 1132 0.00      
5 A1 1018 988 0.00      
6 A1 189 183 0.00      
7 A2 1238 1201 0.00      
8 A2 952 924 0.00      
9 B1 1247 1210 0.00      
10 B1 1162 1128 0.00      
11 B1 945 917 0.00      
12 B2 3120 3028 108.45      
13 B2 3049 2959 9.69      
14 B2 1474 1430 3.09      
15 B2 878 852 0.01      
16 B2 641 622 2.20      
17 E 3103 3011 18.52      
17 E 3103 3011 18.52      
18 E 3051 2960 88.09      
18 E 3051 2960 88.09      
19 E 1469 1425 1.13      
19 E 1469 1425 1.13      
20 E 1274 1236 1.32      
20 E 1274 1236 1.32      
21 E 1237 1200 0.35      
21 E 1237 1200 0.35      
22 E 911 884 1.99      
22 E 911 884 1.99      
23 E 748 725 0.18      
23 E 748 725 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 24157.8 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 23442.7 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 B3LYPultrafine/aug-cc-pVDZ
ABC
0.35427 0.35427 0.20936

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.087 0.121
C2 0.000 -1.087 0.121
C3 -1.087 0.000 -0.121
C4 1.087 0.000 -0.121
H5 0.000 1.435 1.162
H6 0.000 1.963 -0.541
H7 0.000 -1.435 1.162
H8 0.000 -1.963 -0.541
H9 -1.435 0.000 -1.162
H10 -1.963 0.000 0.541
H11 1.435 0.000 -1.162
H12 1.963 0.000 0.541

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.17341.55571.55571.09841.09782.72853.12052.21062.28262.21062.2826
C22.17341.55571.55572.72853.12051.09841.09782.21062.28262.21062.2826
C31.55571.55572.17342.21062.28262.21062.28261.09841.09782.72853.1205
C41.55571.55572.17342.21062.28262.21062.28262.72853.12051.09841.0978
H51.09842.72852.21062.21061.78292.87033.80093.08602.50983.08602.5098
H61.09783.12052.28262.28261.78293.80093.92582.50982.97912.50982.9791
H72.72851.09842.21062.21062.87033.80091.78293.08602.50983.08602.5098
H83.12051.09782.28262.28263.80093.92581.78292.50982.97912.50982.9791
H92.21062.21061.09842.72853.08602.50983.08602.50981.78292.87033.8009
H102.28262.28261.09783.12052.50982.97912.50982.97911.78293.80093.9258
H112.21062.21062.72851.09843.08602.50983.08602.50982.87033.80091.7829
H122.28262.28263.12051.09782.50982.97912.50982.97913.80093.92581.7829

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.621 C1 C3 H9 111.637
C1 C3 H10 117.652 C1 C4 C2 88.621
C1 C4 H11 111.637 C1 C4 H12 117.652
C2 C3 H9 111.637 C2 C3 H10 117.652
C2 C4 H11 111.637 C2 C4 H12 117.652
C3 C1 C4 88.621 C3 C1 H5 111.637
C3 C1 H6 117.652 C3 C2 C4 88.621
C3 C2 H7 111.637 C3 C2 H8 117.652
C4 C1 H5 111.637 C4 C1 H6 117.652
C4 C2 H7 111.637 C4 C2 H8 117.652
H5 C1 H6 108.549 H7 C2 H8 108.549
H9 C3 H10 108.549 H11 C4 H12 108.549
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.086      
2 C 1.086      
3 C 1.086      
4 C 1.086      
5 H -0.555      
6 H -0.531      
7 H -0.555      
8 H -0.531      
9 H -0.555      
10 H -0.531      
11 H -0.555      
12 H -0.531      


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 -27.794 0.000 0.000
y 0.000 -27.794 0.000
z 0.000 0.000 -26.169
Traceless
 xyz
x -0.812 0.000 0.000
y 0.000 -0.812 0.000
z 0.000 0.000 1.624
Polar
3z2-r23.249
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.673 0.000 0.000
y 0.000 7.673 0.000
z 0.000 0.000 6.653


<r2> (average value of r2) Å2
<r2> 75.937
(<r2>)1/2 8.714