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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-156.132866
Energy at 298.15K-156.141859
HF Energy-156.132866
Nuclear repulsion energy125.126582
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 PBEPBEultrafine/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 3063 3035 0.00      
2 A1 3022 2995 0.00      
3 A1 1511 1497 0.00      
4 A1 1136 1126 0.00      
5 A1 980 971 0.00      
6 A1 175 173 0.00      
7 A2 1240 1229 0.00      
8 A2 980 971 0.00      
9 B1 1243 1232 0.00      
10 B1 1137 1127 0.00      
11 B1 909 901 0.00      
12 B2 3097 3069 65.10      
13 B2 3015 2987 7.86      
14 B2 1486 1472 5.26      
15 B2 875 867 0.34      
16 B2 620 615 4.98      
17 E 3078 3050 12.98      
17 E 3078 3050 12.98      
18 E 3015 2987 57.08      
18 E 3015 2987 57.08      
19 E 1477 1464 3.22      
19 E 1477 1464 3.22      
20 E 1266 1254 2.82      
20 E 1266 1254 2.82      
21 E 1220 1209 3.92      
21 E 1220 1209 3.92      
22 E 878 870 3.55      
22 E 878 870 3.55      
23 E 733 727 0.49      
23 E 733 727 0.49      

Unscaled Zero Point Vibrational Energy (zpe) 23910.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 23692.7 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 PBEPBEultrafine/3-21G
ABC
0.34606 0.34606 0.20483

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.102 0.127
C2 0.000 -1.102 0.127
C3 -1.102 0.000 -0.127
C4 1.102 0.000 -0.127
H5 0.000 1.422 1.182
H6 0.000 1.981 -0.536
H7 0.000 -1.422 1.182
H8 0.000 -1.981 -0.536
H9 -1.422 0.000 -1.182
H10 -1.981 0.000 0.536
H11 1.422 0.000 -1.182
H12 1.981 0.000 0.536

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.20481.57951.57951.10281.10052.73583.15382.22472.30382.22472.3038
C22.20481.57951.57952.73583.15381.10281.10052.22472.30382.22472.3038
C31.57951.57952.20482.22472.30382.22472.30381.10281.10052.73583.1538
C41.57951.57952.20482.22472.30382.22472.30382.73583.15381.10281.1005
H51.10282.73582.22472.22471.80702.84323.81183.10362.52253.10362.5225
H61.10053.15382.30382.30381.80703.81183.96202.52252.99972.52252.9997
H72.73581.10282.22472.22472.84323.81181.80703.10362.52253.10362.5225
H83.15381.10052.30382.30383.81183.96201.80702.52252.99972.52252.9997
H92.22472.22471.10282.73583.10362.52253.10362.52251.80702.84323.8118
H102.30382.30381.10053.15382.52252.99972.52252.99971.80703.81183.9620
H112.22472.22472.73581.10283.10362.52253.10362.52252.84323.81181.8070
H122.30382.30383.15381.10052.52252.99972.52252.99973.81183.96201.8070

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.526 C1 C3 H9 110.826
C1 C3 H10 117.429 C1 C4 C2 88.526
C1 C4 H11 110.826 C1 C4 H12 117.429
C2 C3 H9 110.826 C2 C3 H10 117.429
C2 C4 H11 110.826 C2 C4 H12 117.429
C3 C1 C4 88.526 C3 C1 H5 110.826
C3 C1 H6 117.429 C3 C2 C4 88.526
C3 C2 H7 110.826 C3 C2 H8 117.429
C4 C1 H5 110.826 C4 C1 H6 117.429
C4 C2 H7 110.826 C4 C2 H8 117.429
H5 C1 H6 110.201 H7 C2 H8 110.201
H9 C3 H10 110.201 H11 C4 H12 110.201
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.404      
2 C -0.404      
3 C -0.404      
4 C -0.404      
5 H 0.208      
6 H 0.196      
7 H 0.208      
8 H 0.196      
9 H 0.208      
10 H 0.196      
11 H 0.208      
12 H 0.196      


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 -26.958 0.000 0.000
y 0.000 -26.958 0.000
z 0.000 0.000 -25.688
Traceless
 xyz
x -0.635 0.000 0.000
y 0.000 -0.635 0.000
z 0.000 0.000 1.270
Polar
3z2-r22.540
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 5.925 0.000 0.000
y 0.000 5.925 0.000
z 0.000 0.000 5.559


<r2> (average value of r2) Å2
<r2> 76.647
(<r2>)1/2 8.755