The　vacancy　can　be　produced　through　impact　ionization　of　target　atom　by　energetic　particles.　It　is　of　significant　importance　to　study　the　vacancy　state　by　the　measurement　of　angular　distribution　of　typical　X-rays.　At　present,　accurate　ionization　cross-section　data　of　the　atomic　inner　shell　are　urgently　required　in　many　areas.　However,　the　precise　measurement　of　ionization　cross-section　of　the　atomic　inner　shell　is　largely　dependent　on　the　fact　that　whether　the　characteristic　radiation　(e.g.,　X-ray)　is　isotropic.　In　this　experiment,　the　characteristic　Lι,　Lα,　Lβ　and　Lγ1　X-rays　for　Au　target　are　measured　by　a　silicon　drift　detector　in　an　emission　angle　range　from　130°　to　170°　in　steps　of　10°.　A　mini-X　ray　source　is　utilized　to　produce　bremsstrahlung　with　the　center　energy　of　13.1　keV.Considering　detection　efficiency　of　the　detector　and　the　absorption　of　the　target,　relative　intensity　ratios,　I(Lα)/I(Lγ1)　and　I(Lι)/I(Lγ1),　are　obtained　at　different　detection　angles　based　on　the　experimental　energy　spectrum　results.　Moreover,　the　angular　dependence　of　X-ray　intensity　ratio　is　investigated　and　it　is　found　that　the　X-rays　Lι　and　Lα　exhibit　anisotropic　emission.According　to　the　X-ray　intensity　ratio　I(Lι)/I(Lγ1)　and　the　P2(cosθ),　and　using　the　least　square　method,　the　anisotropic　parameter　β　of　characteristic　X-ray　Lι　is　derived　to　be　0.25.　Due　to　the　relation　β　=　ακA20,　the　value　of　the　alignment　degree　A20　for　L3　sub-shell　is　determined　to　be　0.577　±　0.08.　Alignment　degree　A20　for　L3　sub-shell　is　dependent　on　its　intrinsic　physical　properties,　while　the　anisotropy　parameter　β　of　typical　X-rays　can　be　affected　by　Coster-Kronig　transition　process.The　behavior　of　the　alignment　for　inner-shell　vacancy　states　calls　for　more　research　results　both　in　theory　and　in　experiment.　Therefore,　it　is　quite　relevant　and　meaningful　to　perform　more　experiments　to　further　study　the　angular　distribution　of　vacancy　states　by　electrons,　photons　and　ions　impacting　a　target.　©　2020　Chinese　Physical　Society.