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The electron can hop around over all the universe. Is this relevant to your chemistry?

I have read a book "The Quantum Universe" written by Brian Cox & Jeff Forshaw and published from Penguin Books.

In the book, I have encountered an astonishing sentence.  It is,

"Quantum theory is,...,esoteric,...  Esoteric because it describes a world in which a particle really can be in several places at once and moves from one place to another by exploring the entire Universe simultaneously."   (line 12-15 on page 2)  Quotation (1)

Oh, boy!  What a fantastic expression is this!

It does resolve nicely the very conundrum which we always meet when we have the trouble of  how to interpret the meaning of the probability density distribution function of an electron in a hydrogen atom.   It has been really a serious conundrum for me.

For example, think of a 3d state of a hydrogen atom.

The electronic cloud is composed from 8 island around the proton.  Then how can we imagine the elecgtron's motion. The vacuum sea sourounding the 8 islands are space region where the existence of the electron is highly inhibited.  If we assume that at some instance the electron is in one of  the 8 island, then how will the electron can go to the other one of the islands?

The quotation (1) clearly gives us the answer: The electron can hop, I repeat, the electron can hop, over a distance in space directly!

It is really esoteric and at the same time interesting for all of us.

Then, we wiil be puzzled if we think a group of electrons all attracted by single nucleus.

How does each electron hop spacially?  How does the entire electronic cloud behave?

The quotation (1) affects your chemical view or chemistry,doesn't it?

Thank you for reading.

A quantum lover

January 22, 2013

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Re: The electron can hop around over all the universe. Is this relevant to your chemistry?

Let me mention about biochemistry.

It is the usual glycolysis pathway in which an enzyme called pyruvate kinase appears.

The pyruvate kinase is known to have a molecular weight of about 250,000.

Each amino acid that constitutes that enzyme has each number of nuclei and number of electrons as shown


Amino acid     Number of nuclei includeds in the side chain     number of electrons in the side chain

Gly               1                                                                      1

Ala               4                                                                      9

Val               10                                                                     25

Leu               13                                                                     33

Lie               13                                                                      29

Ser               5                                                                      11

Thr               8                                                                       25

Asp               7                                                                      30

Glu               10                                                                      39

Asn               8                                                                       31

Gln               11                                                                      39

Arg               17                                                                      55

Lsy               15                                                                      41

Cys               5                                                                       25

Met               11                                                                      41

Phe               14                                                                      49

Try                15                                                                      58

Trp                18                                                                      69

His                11                                                                      36

Pro                17                                                                      63

Averaging the nuclei number per amino acid, and averaging the electron number per aminoacid yield the following numbers.

<Number of nuclei of side chain>=14.65

<Number of electrons of side chain>=35.45

Each amino acid has -CONH- backbone. This has 4 nuclei and 22 electrons.

So that an average amino residue has 18.65 nuclei and 57.45 electrons.(1)

The average molecular weight of an aminoresidue can be inferred by doubling the number of the residues.

(Carbon has atomic weight 12, and Nitrogen has 14 atomic weight, and oxygen has 16 atomic weight and so on.)  18.65 times 2 = 37.3.

Now, if we divide the pyruvate kinase molecular weight by the average aminoresidue molecular weight 37.3, then we can obtain the rough number of aminoresidues involved in the pyruvate kinase.

And it is about 250,000/37.3=6702 residues.

Multiplying the number of residue by the sum of number of nuclei and electrons per ressidue will yield the total number of bodies inbolved in the pyruvate kinase.

6702 (residues) times (18.65 nuclei/residue + 57.45 electrons/residue) = 510022.2     (2)

We must the 510022-body 3-dimensional time-dependent Schroedinger equation with the external chemical disturbance!

All of the electrons are indistingishable.  All electrons work simultainaeously to move the each nuclei to form the 3-dimensional comformation.  I repeat that all electrons and nuclei work simultaneously.  Both of the contributions from the many nuclei and many electrons are impossible to ignore, if we wish to gain some insights regarding the mechanism of the inner molecular world!

This must be, and can not be avoided to be the future direction of our biochemistry!

After this can be done, we may be able to consider what an alpha helix means, and works.

After this can be done, we may be able to consider what is happening in the beta sheets.

After this can be done, we may investigate what are side residues functioning.

Do you follow, Sirs?

A Pithecntropus Japonicus who, on the sand beach, is counting the number of particles of the sand

May 7, 2013

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