Classical novae are important producers of radioactive nuclei, such as
Be-7, N-13, F-18, Na-22 and Al-26. The disintegration of these nuclei
produces positrons (except for Be-7) that through annihilation with e
lectrons produce photons of energies 511 keV and below. Furthermore, B
e-7 and Na-22 decay producing photons with energies of 478 and 1275 ke
V, respectively, well in the gamma-ray domain. Therefore, novae are po
tential sources of gamma-ray emission. We have developed two codes in
order to analyse carefully the gamma-ray emission of individual classi
cal novae: a hydrodynamical one, which follows both the accretion and
the explosion stages, and a Monte Carlo one, able to treat both produc
tion and transfer of gamma-ray photons. Both codes have been coupled i
n order to simulate realistic explosions. The properties of gamma-ray
spectra and gamma-ray light curves (for the continuum and for the line
s at 511, 478 and 1275 keV) have been analysed, with a special emphasi
s on the difference between carbon-oxygen and oxygen-neon novae. Predi
ctions of detectability of individual novae by the future SPI spectrom
eter on board the INTEGRAL satellite are made. Concerning Al-26, its d
ecay produces photons of 1809 keV but this occurs on a time-scale much
longer than the typical time interval between nova outbursts in the G
alaxy, making it undetectable in individual novae. The accumulated emi
ssion of Al-26 from many Galactic novae has not been modelled in this
paper.