# Calculating the DOS for spherical quantum dot

• skgupta-phy
In summary, calculating the density of states of a spherical quantum dot can be done using DFT. The DOS for a quantum dot is a series of delta functions, which can be derived from Koch's text (http://search.barnesandnoble.com/BookSearch/isbnInquiry.asp?z=y&EAN=9789812387561&itm=6). If you want to calculate the DOS for phonons, you can use the same method. For further reference, you can refer to the book or contact sanjeev0302@rediffmail.com for more information.
skgupta-phy
Dears

Is any method to calculate the density of states of spherical (purely) quantum dot?

Well since a quantum dot is just a cluster of atoms yes, you can calculate it's DOS using DFT.

What DOS do you want to calculate, phonon, electron...?

Phonon

Epicurus said:
What DOS do you want to calculate, phonon, electron...?

PHONONS, I WANT TO CALCULATE PHONONS VIA THIE , BASICALLY INTERESTED WITH ACOUSTIC PHONONS.

how

inha said:
Well since a quantum dot is just a cluster of atoms yes, you can calculate it's DOS using DFT.

thanks, but i want to know how exactly...basically i am using quantum ezpresso 3.1.1 for DFT.
so please guide me...
sanjeev0302@rediffmail.com

## 1. What is the DOS for a spherical quantum dot?

The DOS (Density of States) for a spherical quantum dot is a measure of the number of electronic states available per unit energy at a given energy level. It is a key parameter in understanding the electronic properties of a quantum dot.

## 2. How is the DOS calculated for a spherical quantum dot?

The DOS for a spherical quantum dot can be calculated using the formula D(E) = (2/π) * (R/h)^3 * √(E-Ec), where R is the radius of the quantum dot, h is Planck's constant, E is the energy level, and Ec is the confinement energy.

## 3. What factors can affect the DOS for a spherical quantum dot?

The DOS for a spherical quantum dot can be affected by factors such as the size and shape of the dot, the material it is made of, and the presence of external fields or impurities.

## 4. How does the DOS for a spherical quantum dot compare to that of a bulk material?

The DOS for a spherical quantum dot is significantly different from that of a bulk material. In a bulk material, the DOS is continuous, while in a quantum dot, it is discrete and depends on the size and shape of the dot.

## 5. Why is calculating the DOS important for understanding the electronic properties of a spherical quantum dot?

The DOS provides crucial information about the electronic states and energy levels available in a quantum dot. It can help in predicting the behavior of electrons in the dot and understanding its optical and electrical properties.

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