Editing Potential well (section)

===Classical mechanics view===
[[File:Quantum confinement 2.png|thumb|500 px|The classical mechanic explanation employs the Young–Laplace law to provide evidence on how pressure drop advances from scale to scale.]]

The [[Young–Laplace equation]] can give a background on the investigation of the scale of forces applied to the surface molecules:

:<math>\begin{align}
\Delta P &= \gamma \nabla \cdot \hat n \\
&= 2 \gamma H \\
&= \gamma \left(\frac{1}{R_1} + \frac{1}{R_2}\right)
\end{align}</math>

Under the assumption of spherical shape <math>R_1=R_2=R</math> and resolving the Young–Laplace equation for the new radii <math>R</math> (nm), we estimate the new <math>\Delta P</math>(GPa). The smaller the radii, the greater the pressure is present. The increase in pressure at the nanoscale results in strong forces toward the interior of the particle. Consequently, the molecular structure of the particle appears to be different from the bulk mode, especially at the surface. These abnormalities at the surface are responsible for changes of inter-atomic interactions and [[bandgap]].<ref>{{cite journal |author1=H. Kurisu |author2=T. Tanaka |author3=T. Karasawa |author4=T. Komatsu |title=Pressure induced quantum confined excitons in layered metal triiodide crystals |journal=Jpn. J. Appl. Phys. |volume=32 |year=1993 |issue=Supplement 32–1 |pages=285–287 |doi=10.7567/jjaps.32s1.285 |bibcode= |s2cid=123243150 |doi-access=free }}</ref><ref>{{cite journal|doi=10.1063/1.482008|title=Observation of pressure-induced direct-to-indirect band gap transition in InP nanocrystals|year=2000|last1=Lee|first1=Chieh-Ju|last2=Mizel|first2=Ari|last3=Banin|first3=Uri|last4=Cohen|first4=Marvin L.|last5=Alivisatos|first5=A. Paul|journal=The Journal of Chemical Physics|volume=113|issue=5|pages=2016|bibcode = 2000JChPh.113.2016L }}</ref>