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Thin-wall moulding is done with parts such as mobile phone casings and generally requires hi-flow polymer grades to work well. PC or PC-ABS alloys are often used in those applications, as the stiffer materials allow thinner walls to survive under duress.
But you should be using whatever wall thickness is necessary after carrying out suitable stress/strain assessment for your product and the part design. If weight support is required, additional wall thickness or ribbing may be necessary to support it.
Also, don't forget that any rib or boss walls adjoining the external case wall, must be 2/3 of the external wall thickness or less, in order to stand a chance of avoiding sink marks and distortion. As well, if you are using snap hook details, then they may need to interlock with a recess. If that is into a 1.0mm wall, there isn't much depth there to engage with. So, again, proper stress/strain assessment on loads must be considered first.
If you don't...