Example of infinite scroll in Ionic with Firebase (utilizes Firebase.util.Scroll; http://firebase.github.io/firebase-util/)

controller.js

var app = angular.module('myapp', ['ionic', 'firebase'])

app.controller('ctrl', function($scope, $firebaseArray) {

  // create a connection to Firebase
  var baseRef = new Firebase('https://webapi.firebaseio.com/rolodex');
  // create a scrollable reference
  var scrollRef = new Firebase.util.Scroll(baseRef, 'name');

  // create a synchronized array on scope
  $scope.items = $firebaseArray(scrollRef);
  // load the first three contacts
  scrollRef.scroll.next(3);

  // This function is called whenever the user reaches the bottom
  $scope.loadMore = function() {
    // load the next contact
    scrollRef.scroll.next(1);
    $scope.$broadcast('scroll.infiniteScrollComplete');
  };

});

template.html

<ion-view view-title="Contacts">
  <ion-content class="padding">
  
    <div class="list card" ng-repeat="item in items">
       {{item|json}}  
    </div>
    <ion-infinite-scroll ng-if="!noMoreItemsAvailable" on-infinite="loadMore()" distance="10%"></ion-infinite-scroll>
    
  </ion-content>
</ion-view>

Where to get the firebase-util.min.js file in the ionic structure?