CERIUM OXIDE IS MADE FOR GLASS POLISHING AND CLEANING NOT FOR REMOVING SCRATCHES, ONLY AS PART OF A POLISHING PROCESS CAN IT BE USED FOR THIS PURPOSE.

I MADE A VIDEO ABOUT SCRATCH REMOVAL TO TRY AND SHOW WHAT WAS POSSIBLE AND WHAT WAS NOT WORTH ATTEMPTING COPY AND PASTE IT INTO YOUR BROWSER

https://www.youtube.com/watch?v=JlEEKhrnYOM

HOW TO REMOVE SCRATCHES FROM GLASS

1) THE BEST WAY IS TO 'RESURFACE THE GLASS' BY FULLY REMOVING THE GLASS SURFACE TO THE BASE LEVEL OF THE SCRATCH USING AN ABRASIVE PROCESS, SILICON CARBIDE, ALUMINIUM OXIDE OR DIAMOND ABRASIVES, ONCE A SMOOTH FINISH HAS BEEN ACHIEVED, FINAL GRIT SIZE USUALLY A MINIMUM QUALITY OF 1000-2000 GRIT, THEN CERIUM OXIDE CAN BE USED TO POLISH THE GLASS SURFACE BACK TO A SHINE.

OR

2)  FOR BLEMISHES,  SCUFFS AND VERY! FINE SCRATCHES OF LESS THAN 30 MICRONS eg,(600 GRIT) DEPTH IT SOMETIMES POSSIBLE TO VERY SLOWLY POLISH AWAY A THIN LAYER OF THE GLASS SURFACE USING ONLY CERIUM OXIDE, ON A FELT BOB OR POLISHING PAD ATTACHED TO A POWER TOOL, AS A ROUGH GUIDE IF YOU CAN FEEL THE SCRATCH WITH YOUR FINGERNAIL IT IS TOO DEEP TO REMOVE THE GLASS AROUND IT WITH ONLY CERIUM OXIDE. THIS METHOD CAN TAKE A LOT OF TIME AND HARD WORK.   TOUGHENED GLASS IS VERY HARD GLASS AND IS MUCH MORE DIFFICULT TO WORK ON,  DOMESTIC GLASS AND ORNAMENTS TEND TO BE SOFTER AND EASIER TO WORK ON. AS AN ESTIMATE IF NO IMPROVEMENT IS SEEN WITHIN 1 HOUR OF POLISHING, ON AN ISOLATED SMALL SCRATCH, THEN IT CAN'T BE REMOVED WITH THIS METHOD SO YOU WOULD NEED TO USE ABRASIVES FIRST, AS DESCRIBED IN SECTION 1 ABOVE.

IN MOST CASES FOR GLASS POLISHING YOU WILL NEED TO USE POLISHING EQUIPMENT, FELT PADS OR BOBS, A POWER TOOL, SPECIALIST KNOWLEDGE AND SKILLS MAY ALSO BE REQUIRED, SO PLEASE ASK A PROFESSSIONAL FOR ADVICE IF NEEDED BEFORE BUYING THIS ITEM. YOUTUBE ALSO HAS MANY VIDEOS ON GLASS POLISHING THAT MAY BE OF HELP