Okay, I've googled, and reckon that this sounds like the perfect Lemon Drop Martini recipe. Enjoy!
1 1/2 ounces of vodka
1/2 ounce triple sec
1 tsp superfine sugar (I think I'll use caster sugar)
3/4 ounce fresh lemon juice
Place all ingredients into a cocktail shaker and shake 40 times to allow the sugar to dissolve. Then, grab yourself a frosty cold martini glass, wipe the rim with lemon juice, then dip it in some superfine sugar. Carefully pour in the Lemon Drop Martini, then garnish with a lemon twist.
See, yet another reason why I really need to plant a lemon tree.