A Computational Study of a Prebiotic Synthesis of Menaquinone,
Phylloquinone, and Vitamin K Analoges
NIGEL AYLWARD
BMS Education Services Company,
Sea Meadow House,
Road Town, Tortola,
BRITISH VIRGIN ISLANDS
Abstract: - Ab initio applied computing is used to determine the viability of a plausible mechanism for the
formation of vitamin K from planetary and interstellar gases that contain the necessary essential elements in
prebiotic chemistry before the advent of life on Earth. The immutable laws of chemical thermodynamics and
kinetics enable the intermediates in the synthesis to be characterized and the activation energies to be
established. The planetary molecules propyne, ethyne, carbon monoxide, hydrogen, and water are invoked in a
synthesis of menaquinone, a naphthoquinone precursor of the vitamin K series of molecules. The enthalpy
change was -0.43 h. This is followed by the formation of oligomers of the gases propyne and ethyne which
serve as side-chains for the analogs of vitamin K where the enthalpy change was -0.21 h for the 2-methyl
butane side-chain. For vitamin K (n=1), the total enthalpy change was -0.63 h. The additional presence of
hydrogen cyanide gas and magnesium ions enables the surface-catalyzed, photochemically activated synthesis
of the catalyst, magnesium metalloporphyrin. The activation energies for the formation of intermediates on the
surface of the catalyst are less than the first excitation energy, 0.21 h. Finally, the menaquinone derivative and
the 2-methyl butane or 2-methyl butene oligomer derivatives are combined to give specific analogs of vitamin
K. The reactions are feasible from the overall enthalpy changes in the ZKE approximation at the HF and MP2
/6-31G* level and with acceptable activation energies.
Key-Words: - Prebiotic photochemical synthesis, menaquinone, phylloquinone, Vitamin K1, Vitamin K2,
Mg.porphin.
Received: Septermber 16, 2023. Revised: July 14, 2024. Accepted: August 17, 2024. Published: September 11, 2024.
1 Introduction
Vitamin K is a group of structurally similar, 2-
methyl-1,4-naphthoquinone derivatives, which
belong to the group of natural quinones comprising
the classes anthraquinones, naphthoquinones and
benzoquinones [1], with at least five accompanying
biosynthetic pathways, [2]. The substituent of the
napthoquinone defines the exact vitamin K, [3].
There are two natural forms of vitamin K
homologues, plant-derived vitamin K1 such as
phylloquinone and the bacterium-derived vitamin
K2, Figure 1. For example, vitamin K1
(phylloquinone) has a 3-phytyl substituent while
vitamin K2 contains repeating unsaturated isoprene
units at the 3 position. The menaquinones may be
denoted as MK-n, (menaquinone-n, MK-n), [4],
where n is the number of repeating isoprene units.
The other form of vitamin K encountered is 2-
methyl-1,4-naphthoquinone (vitamin K3 or
menadione) which lacks substitution at the 3
position. Although biologically active in vivo this
compound is not found in nature, [5], [6].
The vitamin K1 series of molecules, Figure 1,
such as phylloquinone occur primarily from plants,
especially leafy green vegetables such as spinach,
brussels sprouts and broccoli, and animal products
such as chicken, mollusks and cheese. The Vitamin
K2 series, Figure 1, is present in bacteria, [5], which
can also convert vitamin K1 into vitamin K2, [7]. .
Vitamin K2 is primarily from animal-sourced foods,
with poultry and eggs much better sources than
beef, pork or fish, [8]. Vitamin K is found in the
tissues of all animals, [5].
It is essential for the biosynthesis of the enzyme
proconvertin in the liver which catalyzes a step in
the sequence of reactions involved in the formation
of prothrombin, [9], the precursor of thrombin, [10],
a proteolytic enzyme that accelerates the conversion
of fibrinogen into fibrin, the insoluble protein
constituting the fibrous portion of blood clots.
Analogs of Vitamin K are used to assist blood
clotting whilst antagonists are used to prevent blood
clotting, [10]. The molecules are napthoquinone
derivatives that may function as coenzymes in the
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electron transport system in animals where they can
be reversibly reduced to quinols, [11]. Deficiency of
vitamin K may also weaken bones, and may
promote calcification of arteries, [12], [13], [14].
Both K1 and K2 are cofactors for the enzyme γ-
glutamyl carboxylase, which converts glutamic acid
(Glu) to a new amino acid γ-carboxyglutamic acid
(Gla), in vitamin K-dependent proteins during their
biosynthesis, [15], [16]. These γ-carboxyglutamic
acid residues have a high affinity for positively
charged calcium ions, [17]. MK-4 has the selective
ability to cause differentiation of neural progenitor
cells NPCs, derived from mouse cerebrum into
neuronal cells. Vitamin K homologues also have
been reported to play a role in preventing oxidative
injury to developing oligodendrocytes and neurons,
[18], [19]. Vitamin K (VK) has an important part in
ageing, [20], [21], [22]. The organic synthesis is
accomplished, [23] and the biosynthesis, [24].
From a prebiotic perspective, [25], it is desirable
if the reactant molecules formed spontaneously from
a supposed prebiotic atmosphere to be inevitably
present. It has often been held that the atmosphere
of the Earth was originally mildly reducing, [5],
[26], implying the presence of concentrations of
carbon monoxide, ammonia, water, and hydrogen.
It is also supposed that the napthoquinone residue
was formed from the gases ethyne, propyne, carbon
monoxide and water, whilst the variable long-chain
side-chains in the different series were also formed
from the oligomerization of the gases ethyne and
propyne. The structure of these molecules strongly
suggests a copolymerization. This paper describes
the initial formation of the napthoquinone
derivative, and the subsequent addition of the side-
chain oligomers of ethyne and propyne. The
copolymerization is described as requiring the
Mg.porphin catalyst with photochemical activation.
These reactions are assumed to occur mainly in the
liquid phase, [27].
The reactions described have been deduced as
kinetically and thermodynamically viable, but
photochemical excitation is required.
2 Problem Formulation
This proposed computational study of a plausible
synthesis of the vitamin K analogs involves the
calculation of the enthalpy changes for reaction
intermediates in the ZKE approximation and the
calculation of activation energies at the HF level.
These activation energies may all be accessible as
the catalyst may absorb appreciable photochemical
activation (0.21 h). The computations tabulated in
this paper used the GAUSSIAN09, [28].
The standard calculations at the HF and MP2
levels including zero-point energy corrections at the
Hartree Fock level, [29], together with scaling, [30],
using the same basis set, 6-31G*, are as previously
published, [25]. Enthalpy changes at the MP2 level
not including scaled zero point energies are
designated as ΔH(MP2). The charge transfer
complexes are less stable when calculated at the
Hartree Fock level, [29], and activation energies
calculated at the HF level without scaling are less
accurate.
If the combined energy of the products is less
than the combined energy of the reactants it may
show that the reaction is also likely to be
spontaneous at higher temperatures. This paper uses
the atomic unit of energy, the hartree, [28].
1h = 627.5095 kcal.mol-1. 1h = 4.3597482 x 10-
18 J
Mullikan charges are in units of the electronic
charge.
3 Problem Solution
3.1 Total Energies (hartrees)
The initial reactants in this proposed prebiotic
synthesis of vitamin K compounds are the simple
gases, propyne, ethyne, carbon monoxide, water,
and hydrogen.
For these molecules to copolymerize it is here
postulated that a catalyst is desirable, taken to be
Mg.porphin, [31], [32]. The immutable laws of
chemical thermodynamics and kinetics then dictate
unequivocally that feasible reactions will occur
provided the physical conditions are conducive to
chemical reactions.
Some of the reactions that may be expected in
the gaseous and liquid phases are given here as
forming the initial reactant molecules to synthesize
compounds collectively called vitamin K analogs.
Here the compounds will be limited to
phylloquinone and its simple derivatives where the
side-chain extension is just n=1 to 3, as shown in
Figure 1.Vitamin K2 represents a group of
molecules with a varying number of isoprene units
as side-chains. Each molecule can be named MK-n,
which represents the number of isoprene units it
contains, [12].
The reactants are expected to have been present
at some concentration over eons predicated on the
Earth’s atmosphere being mildly reducing at some
time past.
The intermediates by which these could form
vitamin K are listed in Table 1. The catalyst for the
formation of the alkyne copolymers is Mg.porphin.
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Table 1. MP2 /6-31G* total energies and zero point
energies (hartrees) for the respective equilibrium
geometries
Molecule HF MP2 ZPE (HF)
hartree hartree hartree
propyne (1) -116.24181 0.06010
Mg.porphin (2) -1185.12250 0.29262
Mg.1,2-dehydro 4-methyl-pent-1.3-diene.porphin (3)
-1417.6182 0.41981
Mg.1,porphin.2-dehydro 4-methyl-pent-1.3-diene (4)
-1417.59302 0.43597
Mg.1,CO.porphin.2-dehydro 4-methyl-pent-1.3-diene (5)
-1530.61235 0.41980
Mg.1,1-carbonyl 3-dehydro 5-methyl-hex-2.4-diene.porphin (6)
-1530.64911 0.41854
Mg.1,porphin.1-carbonyl 3-dehydro 5-methyl hex-2.4-diene (7)
-1530.64162 0.42353
Mg.1,7-carbonyl 9-dehydro 11-methyl 1,3,5,8,10-
penta diene dodecane.porphin (8)
-1761.81844 0.53021
Mg.1,porphin.7-carbonyl 9-dehydro 11-methyl
1,3,5,8,10-penta diene dodecane (9)
-1761.82962 0.53981
cis isomer of Mg.1,porphin.7-carbonyl 9-dehydro
11-methyl 1,3,5,8,10-penta diene dodecane (10)
-1761.42438 0.53272
Mg.1,porphin.2-(1-carbonyl 3-dehydro 5-methyl
hex-2,4-dien-1yl).cyclohex-3,5-diene-1yl (11)
-1761.82588 0.53201
Mg.1,propyn-1yl.porphin.2-(1-carbonyl 3-dehydro
5-methyl hex-2,4-dien-1yl).cyclohex-3,5-dien-1yl.(12)
-1877.95859 0.60048
Mg.1,3-(1-carbonyl-2-(cyclohex 3,5-dien-N-2yl))
-4-didehydro-6-methyl 1,5-hept-diene-1yl.porphin (13)
-1878.04640 0.60931
Mg.1,2-methyl 3-(1-didehydro 3-methyl but 2-en
-1yl) 4-keto 9.10 dihydro. napthalene.porphin.
(14) -1878.18966 0.60353
Mg.1,2-dehydro 2-methyl 3-(3-methyl but 2-en -1yl) 4-keto
napthalene.porphin
(15) -1878.41087 0.61127
4-hydro 4-hydroxy 3,methyl 2-(3-methyl but-2-ene) 1-
napthaquinone
(16) -768.47556 0.32220
2-methyl 3-(3-methyl but-2-ene) 1,4 napthaquinone (17)
menaquinone
-767.31923 0.29854
phylloquinone (18) -963.13714 0.44772
2-methylbutane -196.99336 0.17139
2-methylbutene -195.79496 0.14578
1,4 napthoquinone -533.50568 0.13218
1,4 dihydroxy napthoquinine
-534.58088 0.15354
4-hydro 4-hydroxy 1,4 napthaquinone
-534.66201 0.15584
ethyne -77.06680 0.02945
H.. -0.49823
CO -113.02122 0.00566
OH. -75.52257 0.00911
OH- -75.51314 0.00816
H2O -76.19685 0.02045
H2 -1.14414 0.01056
The standard numbering nomenclature for
naphthalene derivatives is given in Figure 1.
K1 Series (phylloquinone)
K2 series, MK-n (menaquinone, n=1)
2-methyl-1,4-naphthoquinone (vitamin K3 or
menadione)
Fig. 1: The standard numbering for naphthalene.
Vitamin K series. 2-methyl-1,4-
naphthoquinone with polyisoprenyl side chain at
position 3 for the K2 series and saturated side-chain
for the K1 series.
These complexes are integral reactants in the
proposed synthesis. The energies of the stable
complexes to form the menaquinone and 2-methyl
butane oligomers are shown in Table 1.
3.2 The Overall Stoichiometry for the
Formation of the Vitamin K1, Series
(n=1)
Initially vatamin K1 analogue (n=1), Figure 2, is
synthesized, where the stoichiometry is given as,
CO + 4CH3-C C-H + 4H-C C-H + H2O
C21H26O2
K1
ΔH = -0.63040 h
Fig. 2: vitamin K1 series (n=1)
To save computer time the molecule is split into
the napthalene derivative, menaquinone, Figure 3,
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and the side-chain substituent alkane, 2-methyl
butane, Figure 4.
Fig. 3: Menaqinone (n=1)
The overall stoichiometry to form the menaquinone,
MK (n=1), Figure 3, is as follows,
CO + 3CH3-C C-H + 3H-C C-H + H2O
C16H16O2 + 2H2,
ΔH = -0.44360 h
The overall stoichiometry to form the 2-methyl
butane, Figure 4, is as follows,
H-C ≡ C-H + CH3-C ≡ C-H + 3H2 → C5H12
ΔH = -0.20776 h
CH3-CH2- CH(CH3)-CH3
Fig. 4: 2-methyl butane
Finally the two are combined according to the
equation,
menaquinone + 2-methylbutane vitamin K1
(n=1) + H2
ΔH = -0.63040 h
It is assumed that the enthalpy changes involved
in the synthesis of these two simpler molecules are
the same as those involved in the formation of the
vitamin K1 (n=1) molecule.
The enthalpy change is negative indicating that
this may be the energetically favourable route to the
initial formation of the vitamin K1 series. The
intermediates by which these stoichiometric
reactions may have occurred are as follows:
Molecules are numbered consecutively.
Subsections depict alternatives in the sequence
of the reaction mechanism.
A standard numbering of the atoms in the
napthalene molecule is shown in Figure 1.
3.3 The Formation of Mg.1,2-dehydro 4-
methyl-pent-1.3-diene.porphin
The prebiotic photochemically activated , surface
catalysed synthesis of Mg.1,2-dehydro 4-methyl-
pent-1.3-diene.porphin has been described, [33],
where the catalyst was taken as Mg.porphin, [25],
the same catalyst is used in this synthesis of vitamin
K where the initial reactant is the gas propyne. Here,
those first reactions are summarized and represented
here as,
2 CH3-C ≡ C-H + Mg.porphin →
(1) (2)
Mg.1,2-dehydro 4-methyl-pent-1.3-diene.porphin
(3)
ΔH = -0.07948 h
The reaction appears marginally feasible having
been excited photochemically on the surface
catalyst..
The activation energy in these charge transfer
reactions or the formation of van der Waals
complexes is always achievable as the catalyst can
absorb considerable photochemical activation, 0.21
h, [33]
At this stage in the synthesis of vitamin K
analogues very long side-chains from 1 to 50
isoprenyl groups may be added, [34], and
hydrogenated with various sterically specific side-
chains. These are postponed until later.
3.4 The Formation of Mg.1,porphin.2-
dehydro 4-methyl-pent-1.3-diene
The Mg.1,2-dehydro 4-methyl-pent-1.3-diene.
porphin may be excited to an alternative energy
state, as,
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3C
H
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Mg.1, .porphin .2-dehydro 4-methyl pent-1.3-diene
(3)
Mg.1, .porphin. 2-dehydro 4-methyl-pent-1.3-diene.
(4)
ΔH = 0.11318 h
At HF level the activation energy for the addition
was the same as the enthalpy change.
3.5 The Formation of Mg.1,CO.porphin.2-
dehydro 4-methyl-pent-1.3-diene
Further condensation may result in a carbon
monoxide molecule being added to the magnesium
binding site, as,
CO + Mg.1,porphin.2-dehydro 4-methyl-pent-
1.3-diene →
Mg.1,CO.porphin.2-dehydro 4-methyl-pent-1.3-
diene (5)
ΔH = -0.01744 h
The addition reaction is favourable without
activation energy, [35].
3.6 The formation of Mg.1,1-carbonyl 3-
dehydro 5-methyl-hex-2.4-
diene.porphin.
The two adducts may coallesce, as,
Mg.1,CO.porphin. 2-dehydro 4-methyl-pent-1.3-
diene →
Mg.1,1-carbonyl 3-dehydro 5-methyl-hex-2.4-
diene.porphin (6)
ΔH = - 0.03788 h
No activation energy was recorded for this
favourable reaction.
3.7 The formation of Mg.1,porphin.1-
carbonyl 5-methyl-pent-2.4-diene
The Mg.1,1-carbonyl 2-dehydro 5-methyl-hex-2.4-
diene.porphin may be excited to a higher energy
state as,
Mg.1,1-carbonyl 3-dehydro 5-methyl-hex-2.4-
diene.porphin →
Mg.1,porphin.1-carbonyl 3-dehydro 5-methyl-hex-
2,4-diene (7)
ΔH = 0.01193 h
The activation energy was the same as the enthalpy
change.
3.8 The Formation of Mg.1,7-carbonyl 9-
dehydro 11-methyl 1,3,5,8,10-penta
diene dodecane. porphin
At this stage in the synthesis it is desirable to add an
oligomer of three ethyne units, [36], to save on
computer time as,
Mg.1,porphin.1-carbonyl 3-dehydro 5-methyl-hex-
2.4-diene + 3 H-C ≡ C-H →
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3C
H
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3C
H
C
O
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3
C
H
C
O
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3
C
H
C
O
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Mg.1,7-carbonyl 9-dehydro 11-methyl 1,3,5,8,10-
penta diene dodecane.porphin (8)
ΔH = 0.03986 h
The activation energy was the same as the enthalpy
change.
3.9 The Formation of Mg.1,porphin. 7-
carbonyl 9-dehydro 11-methyl 1,3,5,7,9-
penta diene dodecane.
The Mg.1,7-carbonyl 9-dehydro 11-methyl
1,3,5,8,10-penta diene dodecane.porphin
may be excited to a higher energy state as,
Mg.1,7-carbonyl 9-dehydro 11-methyl 1,3,5,8,10-
penta diene dodecane.porphin
Mg.1,porphin.7-carbonyl 9-dehydro 11-methyl
1,3,5,8,10-penta diene dodecane (9)
ΔH(HF) = -0.00163 h
No activation energy was recorded for the formation
of this isomeric state.
3.10 The Formation of a cis isomer of
Mg.1,porphin.7-carbonyl 9-dehydro
11-methyl 1,3,5,8,10-penta diene
dodecane
The Mg.1,porphin.7-carbonyl 9-dehydro 11-methyl
1,3,5,8,10-penta diene dodecane
may be excited by radiation to undergo three
consecutive cis rotational energy changes which
requires activation energy, [36], as,
Mg.1,porphin.7-carbonyl 9-dehydro 11-methyl
1,3,5,8,10-penta diene dodecane
A cis isomer of Mg.1,porphin.7-carbonyl 9-dehydro
11-methyl 1,3,5,8,10-penta diene dodecane (10)
ΔH(HF) = 0.397922 h
This requires three separate rotational activation
energies provided by the catalyst.
3.11 The Formation of Mg.1,porphin.2-(1-
carbonyl 3-dehydro 5-methyl hex-2,4-
diene-1yl).cyclohex-3,5-dien-1yl
The cis isomer of Mg.1,porphin.7-carbonyl 9-
dehydro 11-methyl 1,3,5,8,10-penta diene dodecane
may be excited for ring closure to occur and be
bonded at the excited higher energy adduct site as,
cis isomer of Mg.1,porphin.7-carbonyl 9-dehydro
11-methyl 1,3,5,8,10-penta diene dodecane →
Mg.1,porphin.2-(1-carbonyl 3-dehydro 5-methyl
hex-2,4-diene-1yl).cyclohex-3,5-dien-1yl (11)
ΔH = -0.40212 h
.
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3
C
H
C
O
CC
CC
C C
HH
H
H
H
H
-
N
N
N
Mg
N
C
C
H
C
C
+
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
H
H
H
-
N
N
N
Mg
N
C
C
HC
C
+
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
H
H
H
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3.12 The Formation of Mg.1,propyn-
1yl.porphin.2-(1-carbonyl 3-dehydro
5-methyl hex-2,4-diene-1yl).cyclohex-
3,5-dien-1yl
The Mg.1,porphin.2-(1-carbonyl 3-dehydro 5-
methyl hex-2,4-diene-1yl).cyclohex-3,5-dien-1yl
may add a propyne adduct on the vacant
Mg.porphin site as,
Mg.1,porphin.2-(1-carbonyl 3-dehydro 5-methyl
hex-2,4-diene-1yl).cyclohex-3,5-dien-1yl
+ propyne →
Mg.1,propyn-1yl.porphin.2-(1-carbonyl 3-dehydro
5-methyl hex-2,4-diene-1yl).cyclohex-3,5-dien-1yl.
(12)
ΔH = 0.11655 h
These charge transfer complexes form
spontaneously, [35].
3.13 The Formation of Mg.1,3-(1-carbonyl-2-
(cyclohex-3,5-dien-N-2yl))-4-didehydro-
6-methyl 1,5-hept-dien-1yl
Further bonding may occur between the di-ene
groups to produce a diradical as,
Mg.1,propyn-1yl.porphin.2-(1-carbonyl 3-dehydro
5-methyl hex-2,4-diene-1yl).cyclohex-3,5-dien-1yl
Mg.1,3-(1-carbonyl-2-(cyclohex 3,5-diene-N-2yl))-
4-didehydro-6-methyl 1,5-hept-dien-1yl.porphin
(13)
ΔH = -0.07989 h
The activation energy was calculated as 0.0 h, as
they spontaneiously coalesce.
3.14 The Formation of Mg.1,2-dehydro 2-
methyl 3-(1-didehydro 3-methyl but 2-
ene-1yl) 4-keto 9.10 dihydro
napthalene.porphin
Further condensation may occur to form a
napthalene derivative as,
Mg.1,3-(1-carbonyl-2-(cyclohex-3,5-diene-N-2yl)-
4-didehydro-6-methyl 1,5-hept-diene-1yl →
Mg.1,2-methyl 3-(1-didehydro 3-methyl but 2-en-
1yl) -4-keto 9.10 dihydro napthalene.porphin. (14)
ΔH = - 0.14847 h
The activation energy for the condensation was
negligible.
3.15 The Formation of Mg.1,2-methyl 3-(3-
methyl but 2-ene-1yl) 4-keto napthalene
.porphin
Further isomerization may occur as,
Mg.1,2-methyl 3-(1-didehydro 3-methyl but 2-en-
1yl) napthalen 4-keto 9.10 dihydro.porphin ->
Mg.1,2-dehydro 2-methyl 3-(3-methyl but 2-ene-
1yl) 4-keto napthalene.porphin (15)
ΔH = - 0.24636 h
-
N
N
N
Mg
N
C
C
HC
C
+
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
H
H
HC
HCH3
C
-
N
N
N
Mg
N
C
C
HC
C
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
H
H
HCH
CH3
C
..
-
N
N
N
Mg
N
C
C
HC
C
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
HH
HC
H
CH3
C
..
+
-
N
N
N
Mg
N
C
C
HC
C
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
H
C
H
CH3
C
+
H2
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The activation energy to add molecular hydrogen to
the di-radical is zero.
3.16 The Formation of 3-methyl 2-(3-methyl
but-2-ene) 4-hydro 4-hydroxy 1-
napthaquinone
The nascent vitamin K may be released from the
catalyst by the presence of hydrogen and hydroxyl
radicals, [37],
H2O → H.. + OH ..
ΔH = 0.16472 h
Mg.1,2-dehydro 2-methyl 3-(3-methyl but 2-ene-
1yl) 4-keto napthalene.porphin + H. + OH- H2
+ Mg.porphin +
4-hydro 4-hydroxy 3-methyl 2-(3-methyl but-2-
ene) 1-napthaquinone (16)
ΔH = - 0.25840 h
The activation energy and enthalpy change for this
reaction are assumed to arise from the first
excitation of the Mg.porphin catalyst, 0.21 h.
3.17 The Formation of 2-methyl 3-(3-methyl
but-2-ene) 1,4 napthaquinone
The napthalene derivative may be oxidised by the
presence of hydrogen and hydroxyl radicals to lose a
hydrogen molecule as,
3-methyl 2-(3-methyl but-2-ene) 4-hydro 4-
hydroxy 1-napthaquinone H2
+
2-methyl 3-(3-methyl but-2-ene) 1,4 napthaquinone
(17)
ΔH = 0.00055 h
The activation energy was the same as the enthalpy
change.
3.18 The Formation of Vitamin K1 (n=1)
For the explicit formation of this vitamin K1 (n=1)
analoque it is assumed that the enthalpy changes
recorded for the above, menaquinone and 2-
methylbutane are the same as those for the
formation of vitamin K1 (n=1). Here the two
molecules are bonded with the exclusion of a
hydrogen molecule, according to the equation,
menaquinone + 2-methylbutane vitamin K1
(n=1) + H2
ΔH = -0.63060 h
3.19 The Formation of Phylloquinone
The K1 (n=3) vitamin K1, Figure 1, which occurs
naturally may be formed by the same sequence of
reactions according to the equation,
menaquinone + 3 2-methylbutane 3 H2 +
vitamin K1 (n=3)
phylloquinone (18)
ΔH = -0.90906 h
3.20 The formation of vitamin K analoques
This polymerization method may also be used to
calculate the energies of the K2 series using 2-
methylbutene, as,
n 2-methylbutene → (2-methylbutene)n + n H2
3.20.1 The Formation of Reduced Vitamin K-1
Analoges
The order of the enthalpy change in the reduction of
2-methyl 3-(3-methyl but-2-ene) 1,4 napthoquinone
may be studied using the simpler compound, 1,4-
napthoquinone, as,
1,4-napthoquinone + H2 1,4-napthoquinol
ΔH = -0.00055 h
3.20.2 The Formation of Reduced Vitamin K-1
Analoges
The enthalpy change in the reduction of 2-methyl
3-(3-methyl but-2-ene) 1,4 napthoquinone .may
also proceed to produce a semi reduced 1,4-
napthoquinone as,
C
C
C
C
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
C
H
CH3
C
H2
OH
H
C
C
C
C
H3CH3
C
H
C
O
C
C
C
CC
C
H
H
H
C
H
CH3
C
H2
O
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1,4-napthoquinone + H2 4-hydro 4-hydroxy -
napthoquinone
ΔH = - 0.02146 h
4 Conclusion
The present biochemistry is via the shikimic acid
pathway, [38], which is sequentially demanding and
requires multistep enzyme activation. The
postulated prebiotic synthesis is much simpler, just a
simple copolymerization, and requires just the
ancient catalyst, metalloporphin, [39], itself
reasonably formed from diacetylene cyanide, [25]
together with the most prevalent gases in the
Universe, [40], and interstellar hydrocarbynes and
water, [41], [42].
The wide range for the length of the side chains
in the vitamin series K1 and K2 series does suggest
they arose from copolymerization of simple alkyne
gases of ancient atmospheres that were mildly
reducing. The enthalpy changes and activation
energies calculated do confirm this as much as
possible. An experiment would be useful to see if
vitamin K was indeed formed.
Further work may concentrate on why certain
vitamins have specific stereochemistry that is
preserved in present biochemistry and how the
length of the side chain affects the reduction of the
1,4 quinones. The existence of this molecule in
hydrogen transport reactions and its widespread
occurrence in biochemistry suggest it is of extreme
antiquity
Further work at a higher accuracy may alter the
values given here.
Acknowledgement:
Appreciation is expressed to Gaussian Inc. and Q-
Chem.
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