INTRODUCTION
This
Web-Page will offer some practically fundamental materials of solid, including
valuable material on process and transport theory. At first, some fundamental
material of atoms and chemical bonds are introduced. At second, some physical
and chemical properties of crystals are described. At third, thermal, electric,
magnetic, and optical properties of solid are introduced. At last, some
interersting solid, such as superconductor, will be introduced.
All
contents are described, based on the following viewpoints.
This
Web-Page does not adopt 1) the conventional definition of electron spin
and 2) the solid-evaluation based on the free electron model.
1) Electron-spin
| a) |
Assuming
that an electron moves around on its own axis, it seems natural for
us to estimate the center of electron particle at the super-strongly magnetic
field.
Such
strong magnetic field has not been found on the center of electron.
To
underestimate the center at the small field implies that electron does
not turn around its own axis. |
| b) |
Rough
spin-spin interaction strength may be determined by use of Helium atom.
The interaction strength is larger than 2eV. This interaction strength
is large enough to influence the electron configuration of the heavier
atom(ca. Y, Zr, Nb, Hf, Ta etc.).
We
can not find in all transition metal atoms the electron configurations
influenced by electron-electron interactions. |
| c) |
Electron
spin was discovered by Stern-Gerlach. But, it must be remarked that
his discovery is based on the experiments using silver atoms but not on
the experiments using electron only.
An
electron of atom turns around the nucleus. We can not estimate the magnetic
field yielded by the revolution of electron at zero, even if we take into
account of our well-known spin.
A
silver atom at the ground state has the electron configuration with electron
spin 1/2. It may be allowed to deduce the following mechanism different
from his spin-mechanism; his experimental results are caused by both kinds
of revolution-directions. Can you stress that Stern-Gerlach experiments
is explained by the magnetic property, yielded by self-rotation of electron
particle, but not by the property of atomic orbital observed as Zeeman's
effect ? |
These
three problems are too important for us to declare that the conventional
definition of electron spin is trustworthy.
Electrons
on atomic orbitals give an atom a kind of magnetic property. However, we
know that a magnetic field depends on space. According to our well-known
electromagnetism, it seems very mysterious and dangerous to estimate the
magnetic property of atom at a kind of eigen-value (spin) independent from
the space( see Atom).
Both
directions( self-rotation and revolution-direction of electron) must be
determined by use of 4-dimensional axes, including time.
But, even if we adopt the conventional definition of electron spin, we
can experimentally observe each spin quantum state of electron in an atom
under our observed time-axis. This experimental fact implies that each
spin-state of electron in an atom at the ground state may be interpreted
by use of one time-axis( our observable time axis) only, and, in order
words, by taking into account of the revolution-direction. In order
to avoid from the above difficulty, it may be allowed to introduce the
new concept of electron spin as follows:
The
magnetic property of electron is deduced through examining the revolution-
direction of electron on an atomic orbital. The new definition of electron-spin
is described as follows:
Two
kinds of electron-spins, represented as +1/2, -1/2, respectively, indicate
the following two kinds of revolutions of electron in atom, respectively;
clockwise and anti-clockwise.
This
new proposal of electron-spin indicates that the spin is defined as the
parameter dependent on both space and time.
All
of these above problems may be solved easily by use of my new definition.
My new proposal might make it more easier than now to interpret some chemical
bonds including a metallic bond. Also, my proposal will clarify the reason
why the statistical distribution function of electrons in solid is represented
by Fermi's distribution function.
I do not like some
roundabout explanations decorated with many genius so much. The definition
of electron spin must be very simple. |
2) Free
electron model
| a) |
A
statistical interpretation must be deduced by the research based on the
large amount of statistical data.
Nothing
except properties of an atom and a molecule are regarded as statistical
data for solid state physics and chemistry. Then, the lattice parameters
are not.
It
is correct to state that X-ray pattern makes it possible to confirm the
periodical arrangements of atoms in crystal. But, it must be noted that
the microscopic properties of each atom do not include any lattice parameters. |
| b) |
Free
electron model guides us to the idea that conduction electrons interact
attractively with one another through interaction between electron-spins(
Gerlach-Stern spin) much longer between electrons than the radius of elementary
particle(electron).
Assuming
that the above interaction is probable, it seems reasonable for us to deduce
that the short-range interactions between electrons adjacent to one another
must exert a explicit influence upon the internal quantum state of the
elementary particle.
Regretfully,
no such influence described above has been found. Then, we can not mention
that the condensation of conduction electrons in solid appear through spin-spin
interactions. |
| c) |
Many
experimental facts suggest explicitly that conduction electrons in solid
are mobile. But, energy levels of conduction electrons in solid, deduced
by use of the model, imply that each conduction electron contributes to
the geometrical stabily of solid. The model can not simply and plainly
explain why conduction electron can play both roles: the mobility and stabilization.
The
modern solid state physics and chemistry suggests that the aggregation
of conduction electrons contributes to the geometrical stability of solid.
But, if each energy level, deduced by use of free electron model, were
comfortable to conduction electrons, we could easily find the process to
the aggregation. It is very difficult to discover the process. It
weights on my mind that each orbital of electron on the level can not experimentally
be observed. The difficulty implies that
each energy level, deduced by use of free electron model, is a kind of
imaginary level figured by us. |
| d) |
It
seems natural to deduce that conduction electrons without the destinations
can go to the vacuum soon after. Many scientists might stress that conduction
electrons is fastened in solid by electron-electron interactions.
Do
you believe that a person can go round the world without food, drink, car-gasoline
supply ? It may be allowed to compare 40000km journey for a person to the
transfer for an electron from the edge of a metal wire to the other. Do
you believe that a conduction electron can move from one edge of metal
wire to the other without energy supply ? We must remark that both emitted
and arrived electrons in solid are not always the same electron( ca. observation
of current).We can not regard an electron as a peculiarly physical matter
discriminated completely from another matters.
Assuming
that conduction electrons are fastened by the condensation effect due to
the electron-electron interactions, the stronger restraining energy than
the ionization potential( energy to go electron away to the vacuum ) gives
us the idea that these electrons move along these crystal orbitals only.
The
above discussions suggest that there are more energetically preferable
pathways for the transfer of electron than another. However, when we examine
the effect, such as Joule effect appearing with electric current, we must
take into account of collision with lattices and atomic nuclei. Why and
how can such strongly restrained conduction electrons on crystal orbitals(free
electron orbital) collide frequently with lattice or atomic nuclei ?
It
seems impossible to find these answers in the concepts based on free electron
model. A kind of loose coupling between electrons may be imaged in order
to avoid from the above problem. Such coupling does not give us the answer
to the question why conduction electrons are fastened in solid. The modern
solid-state physics and chemistry based on the free electron model looks
a kind of horoscopy. |
It
may be allowed to suggest from the experimental mobility of conduction
electron that solid has a great amount
of temporarily physical positions ( not a theoretical position) in it able
to accept conduction electrons. Regretfully,
the free electron model neglects completely the acceptably physical positions.
Details, including the problem where are an acceptable position, are described
in section chemical bond. You will find in the section that Fermi's energy
level is determined through examining atomic orbitals in solid.
Conduction
electrons are free from the geometrical direction. Assuming that an atom
has the position, it seems reasonable to estimate from the electrostatic
viewpoint that these conduction electrons can move to another atoms. The
transfer yields the electron-deficient atom. The mutual electron transfers
of electrons between physical positions( atomic orbitals) make atoms bind
with one another. The over-electron-transfer makes a small part of electrons
possible to go to another atoms.
The
electrons contributing to the electric current must be a small part of
total electrons evaluated from total atoms in solid. The resonant mutual
electron transfer may make possible the long-range transfer of electron
and the high-speed transfer.
This
Page adopts the following proposal;
Solid
has a great amount of temporarily physical positions in it able to accept
conduction electrons. The mutual electron-transfer between atoms promotes
the geometrical stability of solid.
My
proposal means that the conduction electrons are not on the orbital deduced
by use of the model, but are either on the atomic orbitals or orbital made
by the linear combination of atomic orbital.
The
detailed proposal including the production of conduction electron will
be described in section Chemical Bond. My proposal will prove highly efficiently
for understanding the processes and transports in solid, which will be
described in each section(electric, thermal, etc..)). |
It
is the most important for me to create a new functional device, such
as high-speed device, a superconductor with high-critical temprature, etc..
The modern solid-state physics and chemistry given up to date need too
theoretical supports for me to take them in my tiny brain. Then,
I discovered these two proposals, These two proposals made me very easy
to understand many solid-state appearances, because these appearances can
be explained without some complicated theoretical supports and with our
experimental knowledges. However, these proposals have one important demerit;
some appearances, such as electric conductivity, are explained by use of
the mechanisms much different from our well-known mechanism. I have been
annoyed with these differences. Some important appearances will be described
in this Home Page.
Now, I believe that,
in this Page, you will find
solid-state physics and chemistry more understandable for you than ever.
Please send
me your any suggestions and comments, if you find any practical viewpoints.
Your comments will be put in this Page as possible as I can.