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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-156.323848
Energy at 298.15K-156.332985
HF Energy-156.323848
Nuclear repulsion energy126.075853
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 mPW1PW91/3-21G
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 3160 3017 0.00      
2 A1 3118 2977 0.00      
3 A1 1564 1493 0.00      
4 A1 1180 1127 0.00      
5 A1 1009 963 0.00      
6 A1 191 182 0.00      
7 A2 1297 1238 0.00      
8 A2 1019 973 0.00      
9 B1 1291 1233 0.00      
10 B1 1186 1132 0.00      
11 B1 942 900 0.00      
12 B2 3193 3048 59.49      
13 B2 3110 2969 7.38      
14 B2 1535 1465 5.77      
15 B2 906 865 0.37      
16 B2 647 618 5.25      
17 E 3174 3030 11.79      
17 E 3174 3030 11.79      
18 E 3111 2970 53.92      
18 E 3111 2970 53.92      
19 E 1528 1458 4.52      
19 E 1528 1458 4.52      
20 E 1316 1256 4.69      
20 E 1316 1256 4.69      
21 E 1269 1212 3.50      
21 E 1269 1212 3.50      
22 E 909 868 4.33      
22 E 909 868 4.33      
23 E 762 728 0.47      
23 E 762 728 0.47      

Unscaled Zero Point Vibrational Energy (zpe) 24743.7 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 23620.3 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 mPW1PW91/3-21G
ABC
0.35129 0.35129 0.20771

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.095 0.124
C2 0.000 -1.095 0.124
C3 -1.095 0.000 -0.124
C4 1.095 0.000 -0.124
H5 0.000 1.417 1.169
H6 0.000 1.963 -0.536
H7 0.000 -1.417 1.169
H8 0.000 -1.963 -0.536
H9 -1.417 0.000 -1.169
H10 -1.963 0.000 0.536
H11 1.417 0.000 -1.169
H12 1.963 0.000 0.536

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.18961.56811.56811.09311.09082.72043.12822.20882.28502.20882.2850
C22.18961.56811.56812.72043.12821.09311.09082.20882.28502.20882.2850
C31.56811.56812.18962.20882.28502.20882.28501.09311.09082.72043.1282
C41.56811.56812.18962.20882.28502.20882.28502.72043.12821.09311.0908
H51.09312.72042.20882.20881.79032.83413.78563.07902.50223.07902.5022
H61.09083.12822.28502.28501.79033.78563.92582.50222.97592.50222.9759
H72.72041.09312.20882.20882.83413.78561.79033.07902.50223.07902.5022
H83.12821.09082.28502.28503.78563.92581.79032.50222.97592.50222.9759
H92.20882.20881.09312.72043.07902.50223.07902.50221.79032.83413.7856
H102.28502.28501.09083.12822.50222.97592.50222.97591.79033.78563.9258
H112.20882.20882.72041.09313.07902.50223.07902.50222.83413.78561.7903
H122.28502.28503.12821.09082.50222.97592.50222.97593.78563.92581.7903

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.560 C1 C3 H9 110.935
C1 C3 H10 117.361 C1 C4 C2 88.560
C1 C4 H11 110.935 C1 C4 H12 117.361
C2 C3 H9 110.935 C2 C3 H10 117.361
C2 C4 H11 110.935 C2 C4 H12 117.361
C3 C1 C4 88.560 C3 C1 H5 110.935
C3 C1 H6 117.361 C3 C2 C4 88.560
C3 C2 H7 110.935 C3 C2 H8 117.361
C4 C1 H5 110.935 C4 C1 H6 117.361
C4 C2 H7 110.935 C4 C2 H8 117.361
H5 C1 H6 110.124 H7 C2 H8 110.124
H9 C3 H10 110.124 H11 C4 H12 110.124
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.433      
2 C -0.433      
3 C -0.433      
4 C -0.433      
5 H 0.222      
6 H 0.210      
7 H 0.222      
8 H 0.210      
9 H 0.222      
10 H 0.210      
11 H 0.222      
12 H 0.210      


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 -26.878 0.000 0.000
y 0.000 -26.878 0.000
z 0.000 0.000 -25.568
Traceless
 xyz
x -0.655 0.000 0.000
y 0.000 -0.655 0.000
z 0.000 0.000 1.310
Polar
3z2-r22.621
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 5.783 0.000 0.000
y 0.000 5.783 0.000
z 0.000 0.000 5.424


<r2> (average value of r2) Å2
<r2> 75.710
(<r2>)1/2 8.701