Approach controller reported they vectored a departing aircraft below the minimum vectoring altitude...

Attributes
ACN	1745671
Time
Date	202006
Local Time Of Day	1801-2400
Place
Locale Reference	NCT.TRACON
State Reference	CA
Environment
Light	Night
Aircraft 1
Make Model Name	Small Aircraft Low Wing 1 Eng Retractable Gear
Operating Under FAR Part	Part 91
Flight Phase	Initial Climb
Route In Use	Vectors
Flight Plan	IFR
Person 1
Function	Approach
Qualification	Air Traffic Control Fully Certified
Experience	Air Traffic Control Time Certified In Pos 1 (yrs) 4
Events
Anomaly	ATC Issue All Types Inflight Event / Encounter CFTT / CFIT

Narrative:

Aircraft X was released off of the airport. I had to vector the aircraft and keep them at 2;000 ft. For longer than usual to be able to have an arrival go over the top on the ILS. Once aircraft X was clear of the other IFR traffic I climbed them to 5;000 ft. I did this in what I believed was ample time to be able to comply with terrain avoidance rules. The aircraft did not climb as expected and entered a 3;900 ft. Minimum vectoring altitude at 2;800 ft. I issued a low altitude alert to aircraft X and had them expedite their climb through 4;000 ft.

Original NASA ASRS Text

Title: Approach Controller reported they vectored a departing aircraft below the Minimum Vectoring Altitude.

Narrative: Aircraft X was released off of the airport. I had to vector the aircraft and keep them at 2;000 ft. for longer than usual to be able to have an arrival go over the top on the ILS. Once Aircraft X was clear of the other IFR traffic I climbed them to 5;000 ft. I did this in what I believed was ample time to be able to comply with terrain avoidance rules. The aircraft did not climb as expected and entered a 3;900 ft. Minimum vectoring Altitude at 2;800 ft. I issued a low altitude alert to Aircraft X and had them expedite their climb through 4;000 ft.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.