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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes Anti 1Ag
1 2 no Gauche 1A

Conformer 1 (Anti)

Jump to S1C2
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-158.215059
Energy at 298.15K-158.225587
HF Energy-158.215059
Nuclear repulsion energy129.607408
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
Au 128 127 0.00      
Au 220 219 0.00      
Bu 249 247 0.07      
Bg 262 260 0.00      
Ag 415 413 0.00      
Au 723 719 4.52      
Bg 785 781 0.00      
Ag 829 824 0.00      
Au 926 920 1.55      
Bu 944 939 6.08      
Bu 1014 1008 0.17      
Ag 1062 1056 0.00      
Ag 1130 1123 0.00      
Bg 1155 1148 0.00      
Au 1235 1228 0.02      
Bu 1262 1254 6.51      
Bg 1280 1273 0.00      
Ag 1337 1330 0.00      
Bu 1347 1340 2.33      
Ag 1348 1340 0.00      
Ag 1411 1403 0.00      
Bu 1414 1406 1.88      
Bg 1419 1411 0.00      
Au 1421 1413 12.83      
Ag 1430 1422 0.00      
Bu 1436 1427 5.51      
Ag 2945 2928 0.00      
Bu 2952 2935 55.67      
Bu 2964 2947 73.16      
Ag 2965 2948 0.00      
Bg 2972 2955 0.00      
Au 2996 2978 30.04      
Bg 3039 3021 0.00      
Au 3041 3024 88.62      
Ag 3050 3032 0.00      
Bu 3050 3033 63.01      

Unscaled Zero Point Vibrational Energy (zpe) 28077.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 27914.9 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/cc-pVDZ
ABC
0.77117 0.11972 0.11248

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.421 0.641 0.000
C2 0.421 -0.641 0.000
C3 0.421 1.920 0.000
C4 -0.421 -1.920 0.000
H5 -1.093 0.635 0.887
H6 -1.093 0.635 -0.887
H7 1.093 -0.635 0.887
H8 1.093 -0.635 -0.887
H9 -0.213 2.830 0.000
H10 1.078 1.970 0.894
H11 1.078 1.970 -0.894
H12 0.213 -2.830 0.000
H13 -1.078 -1.970 0.894
H14 -1.078 -1.970 -0.894

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53371.53092.56161.11351.11352.17002.17002.19862.19332.19333.52872.83762.8376
C21.53372.56161.53092.17002.17001.11351.11353.52872.83762.83762.19862.19332.1933
C31.53092.56163.93172.17502.17502.78762.78761.10881.11051.11054.75494.26404.2640
C42.56161.53093.93172.78762.78762.17502.17504.75494.26404.26401.10881.11051.1105
H51.11352.17002.17502.78761.77452.52903.08952.52562.54873.10943.80822.60583.1564
H61.11352.17002.17502.78761.77453.08952.52902.52563.10942.54873.80823.15642.6058
H72.17001.11352.78762.17502.52903.08951.77453.80822.60583.15642.52562.54873.1094
H82.17001.11352.78762.17503.08952.52901.77453.80823.15642.60582.52563.10942.5487
H92.19863.52871.10884.75492.52562.52563.80823.80821.79011.79015.67614.95894.9589
H102.19332.83761.11054.26402.54873.10942.60583.15641.79011.78784.95894.49184.8345
H112.19332.83761.11054.26403.10942.54873.15642.60581.79011.78784.95894.83454.4918
H123.52872.19864.75491.10883.80823.80822.52562.52565.67614.95894.95891.79011.7901
H132.83762.19334.26401.11052.60583.15642.54873.10944.95894.49184.83451.79011.7878
H142.83762.19334.26401.11053.15642.60583.10942.54874.95894.83454.49181.79011.7878

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.406 C1 C2 H7 109.079
C1 C2 H8 109.079 C1 C3 H9 111.797
C1 C3 H11 111.273 C1 C3 H12 30.833
C2 C1 C3 113.406 C2 C1 H5 109.079
C2 C1 H6 109.079 C2 C4 H10 17.169
C2 C4 H13 111.273 C2 C4 H14 111.273
C3 C1 H5 109.662 C3 C1 H6 109.662
C4 C2 H7 109.662 C4 C2 H8 109.662
H5 C1 H6 105.658 H7 C2 H8 105.658
H9 C3 H11 107.529 H9 C3 H12 142.631
H10 C4 H13 94.607 H10 C4 H14 114.698
H11 C3 H12 94.067 H13 C4 H14 107.213
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.073      
2 C -0.073      
3 C -0.051      
4 C -0.051      
5 H 0.019      
6 H 0.019      
7 H 0.019      
8 H 0.019      
9 H 0.026      
10 H 0.030      
11 H 0.030      
12 H 0.026      
13 H 0.030      
14 H 0.030      


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 -28.626 -0.323 0.000
y -0.323 -28.899 0.000
z 0.000 0.000 -28.064
Traceless
 xyz
x -0.144 -0.323 0.000
y -0.323 -0.555 0.000
z 0.000 0.000 0.699
Polar
3z2-r21.398
x2-y20.274
xy-0.323
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.887 0.251 0.000
y 0.251 8.309 0.000
z 0.000 0.000 6.555


<r2> (average value of r2) Å2
<r2> 120.277
(<r2>)1/2 10.967

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-158.213808
Energy at 298.15K 
Nuclear repulsion energy131.313313
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3053 3036 28.11      
2 A 3043 3025 4.88      
3 A 2989 2971 27.32      
4 A 2967 2950 27.10      
5 A 2948 2931 19.12      
6 A 1433 1425 0.19      
7 A 1427 1419 5.00      
8 A 1409 1401 0.06      
9 A 1346 1338 1.69      
10 A 1322 1315 0.91      
11 A 1261 1254 0.12      
12 A 1143 1136 0.01      
13 A 1081 1075 0.07      
14 A 957 952 0.38      
15 A 820 815 0.02      
16 A 774 769 2.03      
17 A 319 317 0.03      
18 A 254 252 0.03      
19 A 112 111 0.01      
20 B 3050 3032 43.93      
21 B 3043 3025 64.77      
22 B 2992 2975 30.76      
23 B 2966 2948 25.07      
24 B 2948 2931 32.51      
25 B 1428 1420 8.04      
26 B 1419 1410 8.03      
27 B 1403 1395 0.50      
28 B 1351 1343 7.95      
29 B 1307 1299 3.73      
30 B 1236 1229 0.96      
31 B 1110 1103 2.61      
32 B 959 954 2.46      
33 B 931 925 2.37      
34 B 727 722 4.74      
35 B 418 416 0.53      
36 B 215 214 0.09      

Unscaled Zero Point Vibrational Energy (zpe) 28079.2 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 27916.4 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/cc-pVDZ
ABC
0.77117 0.11972 0.11248

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

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability