What is correct write about photon?

[cartuz]

What is correct to write about photon in English? I can’t difference the next.
First variant:
The photon characterized a wave's and a particle's properties.
Second:
A photon characterized the waves and the particles properties.
Third:
A photon characterized a wave's and a particle's properties.
It is more difficult than to understand what is the wave-particle duality for me.
Duality is very simple sense if appear a local test particle in De Broigle waves background.

 

[selfAdjoint]

What is correct to write about photon in English? I can’t difference the next.
First variant:
The photon characterized a wave's and a particle's properties.
Second:
A photon characterized the waves and the particles properties.
Third:
A photon characterized a wave's and a particle's properties.
It is more difficult than to understand what is the wave-particle duality for me.
Duality is very simple sense if appear a local test particle in De Broigle waves background.

A photon exhibits wave and particle properties in different circumstances.

It isn't quite right to say a photon is characterized by these properties, since that would imply that they, by themselves, define what it is to be a photon, and in fact wave-particle duality is characteristic of all quantum particles. The photon is characterized as the boson that mediates the electromagnetic interactions.

 

[cartuz]

A photon exhibits wave and particle properties in different circumstances.
It isn't quite right to say a photon is characterized by these properties, since that would imply that they, by themselves, define what it is to be a photon, and in fact wave-particle duality is characteristic of all quantum particles. The photon is characterized as the boson that mediates the electromagnetic interactions.

Thank you very much.