  The transverse momentum ($p_T$) and pseudorapidity ($\eta$) spectra of
charged particles produced in proton-proton ($pp$) and lead-lead (Pb-Pb)
collisions at the large hadron collider (LHC) are described by a hybrid model.
In the model, the $p_T$ spectrum is described by a two-component distribution
which contains an inverse power-law suggested by the QCD (Quantum
Chromodynamic) calculus and an Erlang distribution resulted from a multisource
thermal model. The $\eta$ spectrum is described by a Gaussian rapidity ($y$)
distribution resulted from the Landau hydrodynamic model and the two-component
$p_T$ distribution, where the conversion between $y$ and $\eta$ is accurately
considered. The modelling results are in agreement with the experimental data
measured by the ATLAS Collaboration in $pp$ collisions at center-of-mass energy
$\sqrt{s}=2.76$ TeV and in Pb-Pb collisions at center-of-mass energy per
nucleon pair $\sqrt{s_{NN}}=2.76$ TeV. Based on the parameter values extracted
from $p_T$ and $\eta$ or $y$ spectra, the event patterns or particle scatter
plots in three-dimensional velocity and momentum spaces are obtained.
