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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: B3LYP/cc-pVQZ

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 B3LYP/cc-pVQZ
 hartrees
Energy at 0K-158.532369
Energy at 298.15K-158.542982
HF Energy-158.532369
Nuclear repulsion energy130.619985
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/cc-pVQZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 124 120 0.01      
Au 216 209 0.00      
Bg 254 246 0.00      
Bu 258 250 0.02      
Ag 424 411 0.00      
Au 738 715 3.45      
Bg 815 790 0.00      
Ag 839 813 0.00      
Au 966 936 0.81      
Bu 980 950 5.20      
Bu 1015 983 0.16      
Ag 1062 1029 0.00      
Ag 1170 1133 0.00      
Bg 1213 1175 0.00      
Au 1293 1253 0.18      
Bu 1329 1288 2.74      
Bg 1336 1294 0.00      
Ag 1395 1351 0.00      
Ag 1414 1370 0.00      
Bu 1415 1371 4.71      
Ag 1489 1443 0.00      
Bu 1493 1446 2.20      
Bg 1499 1452 0.00      
Au 1501 1454 13.73      
Ag 1506 1459 0.00      
Bu 1515 1467 8.00      
Ag 3000 2906 0.00      
Bu 3009 2915 41.99      
Bg 3017 2923 0.00      
Bu 3019 2925 86.21      
Ag 3019 2925 0.00      
Au 3040 2945 19.54      
Bg 3075 2979 0.00      
Au 3079 2983 115.41      
Ag 3082 2985 0.00      
Bu 3082 2986 80.55      

Unscaled Zero Point Vibrational Energy (zpe) 28839.6 cm-1
Scaled (by 0.9688) Zero Point Vibrational Energy (zpe) 27939.8 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/cc-pVQZ
ABC
0.78763 0.12075 0.11344

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVQZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.420 0.639 0.000
C2 0.420 -0.639 0.000
C3 0.420 1.915 0.000
C4 -0.420 -1.915 0.000
H5 -1.078 0.635 0.874
H6 -1.078 0.635 -0.874
H7 1.078 -0.635 0.874
H8 1.078 -0.635 -0.874
H9 -0.207 2.807 0.000
H10 1.064 1.962 0.880
H11 1.064 1.962 -0.880
H12 0.207 -2.807 0.000
H13 -1.064 -1.962 0.880
H14 -1.064 -1.962 -0.880

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52921.52782.55351.09371.09372.15172.15172.17822.17422.17423.50202.82012.8201
C21.52922.55351.52782.15172.15171.09371.09373.50202.82012.82012.17822.17422.1742
C31.52782.55353.92062.15552.15552.77422.77421.09031.09141.09144.72604.24324.2432
C42.55351.52783.92062.77422.77422.15552.15554.72604.24324.24321.09031.09141.0914
H51.09372.15172.15552.77421.74752.50213.05192.49762.51943.06993.77602.59693.1337
H61.09372.15172.15552.77421.74753.05192.50212.49763.06992.51943.77603.13372.5969
H72.15171.09372.77422.15552.50213.05191.74753.77602.59693.13372.49762.51943.0699
H82.15171.09372.77422.15553.05192.50211.74753.77603.13372.59692.49763.06992.5194
H92.17823.50201.09034.72602.49762.49763.77603.77601.76151.76155.62834.92414.9241
H102.17422.82011.09144.24322.51943.06992.59693.13371.76151.76064.92414.46344.7981
H112.17422.82011.09144.24323.06992.51943.13372.59691.76151.76064.92414.79814.4634
H123.50202.17824.72601.09033.77603.77602.49762.49765.62834.92414.92411.76151.7615
H132.82012.17424.24321.09142.59693.13372.51943.06994.92414.46344.79811.76151.7606
H142.82012.17424.24321.09143.13372.59693.06992.51944.92414.79814.46341.76151.7606

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.297 C1 C2 H7 109.117
C1 C2 H8 109.117 C1 C3 H9 111.507
C1 C3 H11 111.124 C1 C3 H12 30.785
C2 C1 C3 113.297 C2 C1 H5 109.117
C2 C1 H6 109.117 C2 C4 H10 17.190
C2 C4 H13 111.124 C2 C4 H14 111.124
C3 C1 H5 109.503 C3 C1 H6 109.503
C4 C2 H7 109.503 C4 C2 H8 109.503
H5 C1 H6 106.047 H7 C2 H8 106.047
H9 C3 H11 107.684 H9 C3 H12 142.292
H10 C4 H13 94.493 H10 C4 H14 114.394
H11 C3 H12 94.003 H13 C4 H14 107.532
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.128      
2 C -0.128      
3 C -0.265      
4 C -0.265      
5 H 0.075      
6 H 0.075      
7 H 0.075      
8 H 0.075      
9 H 0.089      
10 H 0.077      
11 H 0.077      
12 H 0.089      
13 H 0.077      
14 H 0.077      


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 -29.036 -0.453 0.000
y -0.453 -29.470 0.000
z 0.000 0.000 -28.208
Traceless
 xyz
x -0.197 -0.453 0.000
y -0.453 -0.848 0.000
z 0.000 0.000 1.045
Polar
3z2-r22.090
x2-y20.434
xy-0.453
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.461 0.317 0.000
y 0.317 8.961 0.000
z 0.000 0.000 7.023


<r2> (average value of r2) Å2
<r2> 119.356
(<r2>)1/2 10.925

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at B3LYP/cc-pVQZ
 hartrees
Energy at 0K-158.530961
Energy at 298.15K-158.541633
Nuclear repulsion energy132.327758
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/cc-pVQZ
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 3092 2996 42.55      
2 A 3078 2982 1.47      
3 A 3035 2941 26.47      
4 A 3023 2929 32.38      
5 A 3002 2909 13.66      
6 A 1512 1465 0.84      
7 A 1507 1460 5.47      
8 A 1489 1443 0.00      
9 A 1418 1373 2.98      
10 A 1376 1333 0.71      
11 A 1315 1274 0.25      
12 A 1197 1160 0.09      
13 A 1083 1050 0.15      
14 A 993 962 0.38      
15 A 834 808 0.09      
16 A 792 768 1.51      
17 A 322 312 0.03      
18 A 260 252 0.01      
19 A 112 108 0.00      
20 B 3086 2990 49.84      
21 B 3080 2984 87.59      
22 B 3037 2943 35.69      
23 B 3021 2927 24.23      
24 B 3005 2911 28.98      
25 B 1508 1461 10.59      
26 B 1499 1452 7.94      
27 B 1487 1441 0.30      
28 B 1415 1371 6.24      
29 B 1379 1336 2.32      
30 B 1292 1252 0.32      
31 B 1156 1120 1.99      
32 B 973 943 1.52      
33 B 962 932 2.35      
34 B 753 729 3.55      
35 B 432 418 0.30      
36 B 212 206 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 28868.9 cm-1
Scaled (by 0.9688) Zero Point Vibrational Energy (zpe) 27968.2 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/cc-pVQZ
ABC
0.44810 0.15650 0.13424

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVQZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.253 0.723 0.616
C2 -0.253 -0.723 0.616
C3 -0.253 1.571 -0.551
C4 0.253 -1.571 -0.551
H5 -0.045 1.198 1.554
H6 1.347 0.719 0.615
H7 0.045 -1.198 1.554
H8 -1.347 -0.719 0.615
H9 0.103 2.598 -0.474
H10 -0.103 -2.598 -0.474
H11 0.082 1.181 -1.513
H12 -1.345 1.601 -0.569
H13 -0.082 -1.181 -1.513
H14 1.345 -1.601 -0.569

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53301.52902.57421.09261.09402.14842.15472.17383.51402.18452.17422.87642.8278
C21.53302.57421.52902.14842.15471.09261.09403.51402.17382.87642.82782.18452.1742
C31.52902.57423.18202.14782.15573.49132.79271.09034.17221.09001.09182.92033.5512
C42.57421.52903.18203.49132.79272.14782.15574.17221.09032.92033.55121.09001.0918
H51.09262.14842.14783.49131.74682.39872.50072.46844.30463.06922.52103.88193.7779
H61.09402.15472.15572.79271.74682.50073.05442.50273.78072.51833.06993.19062.6041
H72.14841.09263.49132.14782.39872.50071.74684.30462.46843.88193.77793.06922.5210
H82.15471.09402.79272.15572.50073.05441.74683.78072.50273.19062.60412.51833.0699
H92.17383.51401.09034.17222.46842.50274.30463.78075.20031.75681.76093.92414.3793
H103.51402.17384.17221.09034.30463.78072.46842.50275.20033.92414.37931.75681.7609
H112.18452.87641.09002.92033.06922.51833.88193.19061.75683.92411.76092.36863.1978
H122.17422.82781.09183.55122.52103.06993.77792.60411.76094.37931.76093.19784.1808
H132.87642.18452.92031.09003.88193.19063.06922.51833.92411.75682.36863.19781.7609
H142.82782.17423.55121.09183.77792.60412.52103.06994.37931.76093.19784.18081.7609

picture of Butane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 114.426 C1 C2 H7 108.663
C1 C2 H8 109.066 C1 C3 H9 111.076
C1 C3 H11 111.952 C1 C3 H12 111.017
C2 C1 C3 114.426 C2 C1 H5 108.663
C2 C1 H6 109.066 C2 C4 H10 111.076
C2 C4 H13 111.952 C2 C4 H14 111.017
C3 C1 H5 108.887 C3 C1 H6 109.422
C4 C2 H7 108.887 C4 C2 H8 109.422
H5 C1 H6 106.042 H7 C2 H8 106.042
H9 C3 H11 107.364 H9 C3 H12 107.602
H10 C4 H13 107.364 H10 C4 H14 107.602
H11 C3 H12 107.624 H13 C4 H14 107.624
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.135      
2 C -0.135      
3 C -0.267      
4 C -0.267      
5 H 0.087      
6 H 0.071      
7 H 0.087      
8 H 0.071      
9 H 0.091      
10 H 0.091      
11 H 0.079      
12 H 0.074      
13 H 0.079      
14 H 0.074      


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 0.103 0.103
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.542 0.090 0.000
y 0.090 -29.032 0.000
z 0.000 0.000 -28.938
Traceless
 xyz
x 0.443 0.090 0.000
y 0.090 -0.292 0.000
z 0.000 0.000 -0.151
Polar
3z2-r2-0.303
x2-y20.490
xy0.090
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.170 -0.093 0.000
y -0.093 8.496 0.000
z 0.000 0.000 7.549


<r2> (average value of r2) Å2
<r2> 107.507
(<r2>)1/2 10.369