Question

An electron can form a bound state with a positron, called positronium. Find the ground state energy level and Bohr radius for this system. How do they compare to Hydrogen?

Answer #1

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A positronium is a bound electron positron state, where the
electron is rotating around a positron rather than a proton. Prove
that in a positronium bound state:a)The transition energy levels
are halved compared with those of the Hydrogen Atom.b)The electron
radii are expanded to double the corresponding radii of the
Hydrogen Atom.

5a) Positronium is a bound state of an electron and a positron.
What is the energy of the photon emitted in transitions of
positronium from the first excited state to the ground state? (A)
1.7 eV , (B) 5.1 eV , (C) 6.8 eV , (D) 13.6 eV, (E) 20.4 eV
5b) A new hydrogen-like atom is discovered where the particle
orbiting the proton has mass 2me and charge 2e, where me and e are
the mass and charge of...

The positiron is a bound electron position pair. The positron is
the antiparticle of the electron with the charge +e and the same
rest mass as the electron. derive and calculate the following
quantities considering that e+ and e- are orbiting around the
mutual center of mass1.) radius of the bohr orbit with n=12.) binding energy of the system3.) energy and wavelength of a photon emitted if the eletron
transistions from n=2 to the ground state

Positronium is an exotic form of matter formed by an electron
and a positron (a positively charged electron) orbiting around a
common center at a distance of 1.06 D (from each other, not from
the center). We will assume that the system rotates in a way
approximated by the rigidrotor model. Calculate the following:
A. The first four energy levels associated to the rotation (in
three dimensions) for this system.
B. The first four possible values of the angular momentum...

Consider the Bohr model of the hydrogen atom for which an
electron in the ground state executes uniform circular motion about
a stationary proton at radius a0. (a) Find an expression
for the kinetic energy of the electron in the ground state. (b)
Find an expression for the potential energy of the electron in the
ground state. (c) Find an expression for the ionization energy of
an electron from the ground state of the hydrogen atom. The
ionization energy is...

In a process called "positron-electron annihilation," a positron
collides with an electron, and both particles are destroyed. During
this process, the total mass of both particles is completely
converted to energy in the form of gamma radiation. Determine the
total energy given off when one positron collides with one electron
resulting in annihilation. (Note: mass of positron = mass of
electron = 0.000549 amu)

Please in detail, describe the probability of finding an electron
in ground state of hydrogen outside the first Bohr radius.

If an electron is confined to one-dimensional motion
between two infinite potential walls which are separated by a
distance equal to Bohr radius, calculate energies of the three
lowest states of motion.Calculate numerical value of ground state
energy and compare it with hydrogen atom ground state energy.

If an electron is confined to one-dimensional motion between two
infinite potential walls which are separated by a distance equal to
the Bohr radius, calculate the energies of the three lowest states
of motion. Calculate numerical value of ground state energy and
compare it with hydrogen atom ground state energy.

Consider a hydrogen atom: a single electron that orbit the
proton, the electron circular orbit has radius Bohr ground state
.529 angstrom.
a. Calculate the magnitude of the Coulomb's force between the
proton and electron
b. Write this force in vector form.
c. Calculate the velocity and acceleration of the electron.
d. Calculate the electron's electric potential energy in
electron volt.

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